Is it possible to reclassify from the Reserves to become an active duty 68C?

Not sure why you would want to.
Your going to spend a year in Tradoc, get paid, have full benefits, and become a 68C. After that you can graduate, go back home, and use the GI Bill to go to school and get your BSN. In addition you can work part time as an LPN. In two years you will have your BSN in hand, while all the active duty suckers (myself included) will still be LPNs working active duty, to busy to take any classes, for years to come.

I have seen several students come through doing that very thing.