If you're not doing the 3+3 program (I'm assuming that's what you mean by 0-6....the program where you apply as you enter college and do your bachelor's in 3 years and then go straight into the school's PT program and complete that in 3 years), then you're looking at a minimum of 7 years:
4 years of undergraduate
3 years of PT school
(some PT schools may be slightly less than 3 years, and I suppose you could always try to graduate undergrad in less time if you plan your courses right, but college is fun so I wouldn't shortchange yourself).
And you can absolutely be an athletic trainer and a DPT. There are hundereds of them out there. Athletic training is an undergraduate program at some schools, so you can get your bachelor's degree in that, and then go to PT school. In our class of 70-some first year PT students, there were at least 8 athletic trainers.