Can senior NCO’s make soldiers drive from home to a duty during harsh conditions such as frozen roads?

Yes, yes they can.
Guardsmen have had to travel through emergency weather situations (blizzards, firestorms and hurricanes), sometimes a several hours drive (myself included) to perform their duty.
I live 2 hours from my duty location and have had to kick it into 4wd up and down 2 mountains in the middle of a Noreaster to make it to duty on time. Its your responsibility to plan accordingly.

Let's flips this around. If you are worried about the weather and coming in for your duty day...why didn't you make your concerns known prior so you could stay on base for the night. And be ready for duty in the morning. You did after all sign up for the military - so it's acceptable to be told to be on duty at the prescribed time. Forcing some one who simply doesn't live off base to stand in is not exactly the purpose.

Here’s an ideal, if you live in areas that get frozen roads, learn to drive on ice! Stop making your problems someone else’s!

Well, young soldier, living off post is a PRIVILEGE, and is granted at the discretion of your Commander. What makes you so special that you shouldn't be required to perform the same duties as your contemporaries? If you're so worried about your personal safety, then move back into the barracks.

There was a 10 day ice storm during November 2017 in Fort Riley. Everyone in 1-63rd BN still had to come to formation in the maintenance bay at 0615.

simplest answer is:
YOU are a soldier who is EXPECTED to be ready for duty 24/7/365.
IF you live off post... it is with the permission of your chain of command...
--> that is NOT a Right.

IF you are unable to report to duty because the weather is hazardous...
THAT IS AN EXCUSE...
Maximum effective range of an excuse? ZERO METERS.
Would you use that same excuse if an alert were called... to excuse your absence, as your unit rolls out to fight an enemy... while you laze at home... "it's raining too hard... waaah..I can't go to war"??

IF you are unable to report for duty, living off post... then your permission to live off post can very easily be denied... so you WILL be ready for duty... 24/7/365 ;)
If your postal worker can deliver the mail in inclement weather... you can report for duty too.

NO... you cannot trade or sell duty... unless Unit Policy allows.
You signed up. You raised your hand and swore to obey.
YOU are Government Issue... to be deployed as directed by your superiors.
Got a problem with that?
Then you should probably try to find a job where your boss will let you do as you wish...
That is NOT going to happen in the U.S. Military.
The Military is NOT a Democracy.
It is a Dictatorship that you agreed to...

--> "I, _____, do solemnly swear that I will support and defend the Constitution of the United States against all enemies, foreign and domestic; that I will bear true faith and allegiance to the same; and that I will obey the orders of the President of the United States and the orders of the Officers appointed over me, according to Regulations and the Uniform Code of Military Justice. (so help me God)." <--

accept... and stop whining.

btw... jobs are scare outside the Military... unless you are a "non-legal alien".
You can be a soldier... or you can be homeless to support the Invaders... and the Enemies of the U.S. who now own our Manufactured Products by Dictated Law ... By Dictated Democratic Laws that give aid and comfort to China... and Invaders called Immigrants.. who are taking over our Nation, while you are protecting the Saudi Arabian Kings who attacked U.S. on 9/11/2001.

I'm curious... should I thank you for serving to protect our enemies??
I can't thank our current Military for their service ... as they die to protect our enemies FROM U.S.!

All I can do is cry at the sad state of this Nation... that willingly protects and bows to our enemies.

I'm a little late to the party here but I had say this idea simply isn't fair and equitable. Many units have abused the idea of grabbing up someone who lives in the barracks for a "quick" task simply because they live closer. When we get stationed somewhere as a married Soldier, or if you have enough rank, we make the decision on where to live, either on or off base, and even how far from base. None of that should be a factor in distribution of duty, whether it be regular duty days or additional task such as CQ/ staff duty.

If it was to become a unit policy that during bad weather someone who resided off post would be swapped off duty for someone who lived in the barracks what do you think would begin to happen? Those in the barracks would marry the first person they found willing, often resulting a whole other host of issues.

Actually senior NCO's dont make anyone do anything. They simply follow the Comanding Officers orders. Some or standing some are issued verbally or in writing throughout the day. No the CO doesnttell the 1st SGT to hold routine formations before each one but it is the COs wishes being carried out.

Yes. Are their weather forecasts for your duty station? Be proactive and do what is necessary.
_Go in before the weather hits.
_Leave early so you can drive in at a safe speed.
_Un-ass your pack and hump in

If you are supposed be there, be there.

P.S. The word is performed, not preformed.

In my civilian job in Western NY stuck in the path of lake effect snow between Lake Erie, and Lake Ontario I worked for the County DOT. I got called out at all hours of the night to work out on the road, it didn't matter what the road conditions were, we were essential personnel and had to get there. We were the ones responsible for making the roads safe for everyone else. Keep good tires on your vehicle, and leave early so you can drive slowly. Unless the local government declares the roads closed to all traffic you are probably going to have to show up for your assigned duty.