Absolutely, as all the centers will require to do a behavioral assessment when check in, so you can simply make sure that your pet will definitely be with a well behaved group of friends to socialize with. So injuries are very rare to happen.
Also all the pets should be fully vaccinated, and all of the centers will ask to check out about the records to make sure they are all up to date.
All the centers you find on BookMyPet are well known and trusted centers, so don’t worry and let your pet enjoy the social interaction.