Is it possible for a 22 year old to grow tall?

No: Growth plates are usually sealed by this age so no further growth occurs. It would be extremely rare to grow at age 22.

Doubt it: Future growth is dependent on whether the growth centers in your long bones remain open. Most have closed by 18 yo in males. If your family has a history of delayed growth, these may be open and growth possible.An x-ray of your wrist and hand can detect your bone maturity.If the index is consistent with >18, you are done, if 14 you could grow more but this is not realistic.