Do they require all vaccinations I have a 4 month old maltipoo that has had 1 shot already but he needs urgent grooming?

No you should be fine. Your puppy is too young for the rabies shot I believe, anyways. The other vaccines are for your dog's protection, not theirs.

I don't have a phone # but im sure that their shots have nothing to do with their grooming as long as they don't bit.