Helo-slots are so rare these days that you pretty much have to want one to get one. There are always 1 or 2 in the class that'd rather fly helo's than heavies.

Answering the original poster's question, yes, it is possible to go into the Air Force and have them teach you how to fly. If you get accepted to flight school, you will spend about a year and a half in flight training while they teach you how to fly military aircraft. You can take FAA written tests while in the military to get your civilian Instrument, Multi-Engine Commercial ticket so that when you leave the military, you can go on to get your ATP and fly for a commercial operation.