Yes,
It is possible and quite easy. You can write a little bit of code and then set your switchboard option to "Run Code" or include the code in a macro if that's easier for you to understand and "Run Macro". I actually manually created a Form instead of a switchboard....that Form gave you the option to advance (which closed the form and opened a hyperlink to the selected database) to one of the databases selected.
But since you've chosen to go with the switchboard, just use code like this:
Private Sub OpenDB2_Click()
On Error GoTo Err_OpenDB2_Click <---not required
Dim ctl As CommandButton
Set ctl = Me!OpenDB2
With ctl
.Visible = True
.HyperlinkAddress = "C:\yourpath\seconddatabase.mdb"
.hyperlink.Follow
End With
Exit_OpenDB2_Click: <---not required
Exit Sub <---not required
Err_OpenDB2_Click: <---not required
MsgBox Err.Description <---not required
Resume Exit_OpenDB2_Click <---not required
End Sub