Since I'm on a 4 year contract, would it be possible to make Staff Sergeant within that time frame?

Hell I know a guy that made SSgt every 4 years for his entire 24.

Yes

Many have. Study your air force history and your AFSC and study hard. Knowing your Air Force history is quite critical. Best of luck

yes, I came in with a guy that made staff in 2.5 years. He had prior college, so he had a1c on since day 1. He then made btz which put him in a fast testing cycle and made it first time.

I did in three. Depends on your AFC. Need and availability

Yes. Depending on the time to enlisted during the year it is possible to be a SSgt in 3.5 years, but you have to have 6 months retain-ability after completion of ALS. Now you can get a 6 month waver after completion of ALS to meet the requirement or you can reenlist.

Its possible.

You got some great advice here. I challenge you to do better than I did

Sure can if you go below the zone and test for Staff, I did it under 4 in 1982

Most likely not. Worry about being the best whatever rank you are now. If you are the best Soldier in the company, you will be taken care of and promotion will come.