Yes, There are basically Four types of the avatar according to Dashavatar Book:
- Transmigration:- It believes in Acquisition of flesh.Here, There is one soul become a God.
- Possession:- It also believes in Acquisition of flesh. God is inspired in the one soul. Exa. It was believed that Shivaji(Chhatrapati) used to come to Bhavani in his body.
- Immanation:- God's comes in one soul. God himself does not come. Exa.All Anshavataras like Shankaracharya, Vashishtha etc
- Total Avatar:- God Himself grows into the world. Exa. All 10 Avataras like Rama, Krishna, Buddha, Vamana etc.