No.
If he had gonorrhea or chlamydia and you put his actual penis in your mouth, maybe, but touches and fingers in mouths aren't going transmit anything. Kissing does not transmit STDs.
STDs are transmitted only by unprotected oral, vaginal or anal sex, or unclothed direct skin to skin contact - oral to genital, genital to genital, and genital to anal. Think heavy rubbing or grinding.