access in local network

Yes you can. You can create the database and share it for multiuser
md

Access was designed to share information between users on a network. It has the ability to lock records if they are being edited, to prevent other users from over-writing that same data. More advanced features include the ability to set up security to allow access to only certain areas of the database, and the ability to track exactly who modified data without having the user have to enter their information (using their Windows logon ID).

Sharing the database is very simple. Just place it on a network share and everyone can instantly use it. If you're in an environment where there is alot of data in which lots of users are modifying, you can create a back-end to the database that prevents corruption from destroying your data.