Whether a full e-sign closing is possible depends on your location (state e-sign laws as well as acceptance by the county recorder), who’s originating your mortgage, your mortgage program, who the ultimate investor is, etc.
The mortgage (or deed of trust) and the note are the most common docs where wet signatures are required, and most places will just paper out the entire closing package because e-signing some docs but not others adds more complexity than value to the process, since you have to have a notary involved and generally a courier/overnight service for the paper docs either way.