yes it is possible ... i have the same things happening to me but i am aware of the fact that i smell and that is not because i dont shower, because i shower daily. you, like most people on this forum may have some kind of a bacterial/ digestive (or other 'smelly' reason undiscovered yet) problem.
although if you asked a friend and they said you dont smell, i suppose you dont. maybe its just a weird circumstance that such things happen to you. take care