Can I Gain Height After Attaining Puberty?

im 22, and 5 6 I look young for my age the last growth spurt I visably had was at 13. I lack facial hair growth and I m a black male. I have mostly been overweight since 12 a little noticable chubby however I ve now felt the urge to eat healthier and so some light excercising like ive got a burst of energy somewhere. Well my actual question is could my growth plates still be open what are the chances of me still gaining some height? My mother is 6 ft My fatheris 5 7, my uncles on both sides are over 6ft. without an x-ray is there anyway to tell?