bta, yes you can use the Before DoubleClick event on the sheet in question.

In native XL right click on the tab you wish the code to fire against, select View Code and insert the below into the resulting window:

Private Sub Worksheet_BeforeDoubleClick(ByVal Target As Range, Cancel As Boolean)
If Target.Address = "$S$25" Then: Columns(35).Hidden = (Columns(35).Hidden = False): Cancel = True
End Sub