Are trying to prevent the drop down arrow because you don't like it, or in
fact do you NOT want users to have a choice?
If you are just displaying data from another table, then you can eliminate
the combo box, and base the form on a query that left joins in the
additional values from the other table. You can then use standard text boxes
on the form..and don't need combo.
In a good number of cases, people want the drop down arrow to not appear to
save room on a screen, or reduce clutter. In this case, you can place a
text box on top, and then when the text box gets the focus, you enable, and
set the visible of the combo box = true, and then set the focus to the
combo.
So, your solution really kind of depends on why you don't want the drop down
arrow.