WDBS run tournaments for people with disabilities, under eight different category groups. Groups one and two are for wheelchair users, groups three to five are for ambulant players, group six for intellectual disabilities, group seven for visually impaired players and group eight for deaf/hearing impaired players. More information on classification groups can be found here.
As part of WDBS tournaments they offer free open days that are available to people with any disability. Whether current players or complete beginners you are welcome to come try snooker as a sport and get free advice and guidance from experienced coaches. For information on these open days go to World Disability Billiards and Snooker website here.
Another way to get involved would be to find you nearest World Snooker coach and see if they offer sessions at a local accessible club.