Yes. The permissions are stored in the database file.
Users and groups are stored in a separate mdw file, used to secure the
database.
This mdw should also be copied to another pc (or on a network share), in
order to enable users on other PCs to open the database.
Seach the internet for msaccess secfaq.
There also is a wizard that can help you, check "security" in the tools
menu.