Yes.
You would build your forms based on a query. In that query you would only
select records where the userid is equal to the user signed on. Of course,
they could add records, but could only view existing records that had their
UserID in it.
To do this, you will have to implement User-Level Security, take away all
access from the tables and queries, create queries with the criteria
indicated, allow the queries to run with owner's permission, and build forms
and reports based on those queries.
Again, you can read some previous posts and get more details and maybe see
some pros and cons. Search for things like "their own records" "only their
records" "lock tables" "secure tables" "secure records" etc.
Good luck, and feel free to post back specific questions if you have them.