Sqlite database location

This may sound like a dumb question, but here goes . . .

I keep a frequently accessed database in app. If I move it to session, will that move it to the client side so I can reduce the number of calls to the server?

No. But that is a very good idea anyway. Sessions shouldn’t share a connection to the database.

Does sharing the database slow things down? I really don’t have a lot of people on at one time

Sharing the connection can lead to database errors and/or data corruption. And other hard to track down bugs.