There is absolutely no incentive for him to lie about you passing the physical, because if you failed the physical, you are a waste of his time. You would know now if you were in a position where you were disqualified from getting a scholarship.
Good luck on getting one oif that is what you desire. All I ask of you is that make sure that you really have a desire to be in the military and that the attractiveness of having your education paid for isn't your only factor for joining.