Yes. You can do this quite easily by creating a separate Access database that acts as a small launcher for the databases you want your users to access. For example, you could create a form containing:
- A checkbox for each Access database
- The name of the database next to the checkbox
- An Open button

When the user checks a database and clicks Open, VBA can open the selected accdb file using either FollowHyperlink or Shell. For example, with a checkbox named chkStok

Private Sub btnOpen_Click()
    If Me.chkStok = True Then
        Application.FollowHyperlink "C:\AccessDB\Stok.accdb"
        ' Shell "msaccess.exe ""C:\AccessDB\Stok.accdb""", vbNormalFocus
    End If
End Sub


The If statement simply asks "Is the Stok checkbox checked?". if the answer is Yes -meaning True- Access executes the following line for either Application.FollowHyperlink ..... or Shell "msaccess.exe ..... , whichever you wanna use or understand the best. (The difference is that FollowHyperlink lets Windows handle the file, while Shell explicitly starts Microsoft Access and passes the database file to it.) If the checkbox is not checked, Access does nothing.
This way, the launcher database becomes the user's starting point, and you can decide which databases are presented to them instead of relying on Access's own list of recently opened databases.

Database Launcher

If there are ten different databases but some users get access only to certain ones you can set up a permissions table so the launcher, on the landing page, only shows the particular databases that are available for that particular user.

Yep, Kevin's got it. I have a Database Launcher video specifically for this purpose. It basically uses the method that Alkan suggested.

One important note: the launcher can limit what users see and make navigation easier, but it isn't security by itself. If users can browse to the ACCDB files and have permission to open them, they can still do so. For real protection, secure the folder with Windows permissions and consider distributing the front ends as ACCDE files.

Here is the Database Launcher I built several years ago.  The right side shows a random collection of "messages".  LLAP!!!

Love the LCARS look!

Gentlemen
This is exactly what I was looking for. Security is not an issue as all my databases are exclusively for my own personal use. I just don’t want one of my grand or great grandchildren to accidentally delete one of my databases. Had I known what you call it (database launcher) perhaps I could have found it without bothering you all.
Again thank you for the help and rapid response.