All protein is made up of Amino Acids - 22 including the 8 essential amino acids. [Essential means that the body cannot make this amino acid from another].
Yes, Plant Protein works just as well for building muscle and for recovery from exercise as Whey (milk derived) protein.
Each protein source may have a slightly different ratio of Amino Acids, but you will not notice the difference they all work in the same manner.
So do not hesitate to swap or try a different protein, sometimes a change is triggers the body to improve.