No, there are not different types of plaster of Paris. However, there are different types of plaster. There is plaster of Paris, pottery plaster, Puritan pottery plaster, Cerami-Cal, and Hydrostone.

Gypsum plaster (plaster of Paris) ( CaSO4·½H2O )

A large gypsum deposit at Montmartre in Paris led gypsum plaster to be commonly known as "plaster of Paris"

plaster.

Yes, plaster is a noun, a common noun. Plaster is also a verb (plaster, plasters, plastering, plastered). Example uses:

Noun: The plaster in the hall is cracked.

Verb: We'll have to call someone to plaster those cracks.

plaster sand