"Do" é possível. Usa-se também "play", como na frase "do you play any sports?". Eu não usaria "do" em relação a "soccer", "volleyball", "basketball", etc. Usaria "do" para "judo", "karate", etc.
I play volleyball twice a week.
I like soccer because I've been playing it since I was little.
"go if the sport ends in '-ing'
do if the sport is more of a physical activity, and
play if the sport is competitive."
I go swimming, cycling, canoeing, dancing, etc.
I do judo, athletics, gymnastics, etc.
I play football, handball, chess, badminton, tennis, golf, etc.
"In my experience, do is used more for particular recreational activities, especilly those of a singular nature, and not so much for sports."
I do (practice) yoga.
Mr. Smith does crossword puzzles.