Yes, I believe so. Personal Geodatabase should be what you are looking for. Create a personal geodatabase, it will have a .mdb extension. You can then put feature classes, tables inside of the personal geodatabase. You should be able to open the personal geodatabse in MS Access as well and put in additional tables. Be aware that this sort of database have its limit, i.e. storage size, only one viewers or editor at a time, etcs.