if you're not comfortable, maybe buy a spare firing pin just in case?
And for many guns, the firing pin is the part which is at risk if the gun is dry-fired.
However, I believe the common problem with .22's is "peening" the edge of the chamber. If the brass case rim isn't there to stop it, many firing pins will happily travel all the way forward until they hit the end of the chamber. Eventually, this can effectively reduce the diameter in that spot and make chambering a round difficult or impossible.
Some guns, and I believe the Ruger Mark II and 10/22 are examples, have some kind of firing pin retainer which prevents this overtravel. These can generally be dry-fired without undesirable consequences.