I am 5'8'' and 180 right now. When I entered I was 5'6" 130. So yes you can do it. If they say you can't, find the biggest recruiter there and jump up in his face. Ask if he wants to go outside. At this point one of two things will happen. 1.) They will admire you for standing your ground and "re-check" your height measurement
... or ... 2.) He will follow you outside. At this time you better run like hell