Should I have to give up on my dream to be a PA?

Your Not going to like what you hear mostly likely.
You signed up to be a food service specialist.
It sounds like your assigned those duties and in a unit where you have lots of work.

Should others have to do your share of the work left undone in your absence?
Do you not feel a commitment to accomplish the tasks you signed a contract to fulfill?
As a leader, what do you think they are thinking when they see you wanting to shirk your responsibilities now to do something wanted, vice needed??

Perhaps they think..well, if he will blow off his duty today to go do something else, will he do the same as a PA, a job where lives are at stake?

Refer to the phrase Selfless Service and ask yourself what that means...

You are in the same position every other SM is that is wanting to get some non MOS related schooling be it a business degree, masters in firefighting science or learning to be a PA.

You have to find the time and way to do both YOUR JOB and what you want.. It will not be fast, not easy and not without hardships..There will be sleepless days, long nights, missed parties and years that you use your leave to finish a class commitment rather than go home for the holidays.

If you want to fast track your path to being a PA, finish your Army service contract as a 92G, get out, and then work full time on getting that PA dream fulfilled. ...Otherwise Do the job you asked for, signed up for and others need you doing.. Work with your leaders to find time, get a pass and do the OTHER thing.. take leave and do the OTHER thing, offer to work the night shift so you can do the OTHER thing in the day for a few hours.
If you want it, you will get it, if you want to whine about not being let out of your assigned duties so you can go do something else, your in for a long frustrating time and likely fail at both.

Just has to be said you are a Soldier first and such, the mission always comes first. Keep in mind you will need letters of reference and a good service record to be competitive in getting an IPAP slot = tread lightly.

Also, I'd bury that comment about rights to go for your dreams....you literally have an NSN assigned to you.

Ask for a meeting with your NCOIC and have a list of questions and requests (not demands) and see how that goes first. If unsuccessful, use the commander's open door policy to make your request. I'd be prepared to repay any kindness they may offer. Plenty of us who made the transition got here by attending classes at night and online. You can get your PA following time at your local MEDDAC, but you would be smart to initiate this at the TMC supporting your unit. If you do find success, excuse yourself anytime a member of your "assigned" unit is being treated and don't violate HIPPA.

Good luck, stay positive and don't try and push too hard, it will more than likely come back and bite you.

Advice from an AK PA sitting in his truck at 04:19 in 0 degrees following a 10 hour ER shift and an hour on the road to home.

Not always as glamorous as it appears :-)

Are you being denied training you enlisted for? When do you think you will be educationally qualified to pursue training as a PA. Your post reveals educational areas where improvement is needed if you are serious about becoming a PA.