Sure. If you're using tab view for forms either switch to overlapping windows option or make the search form a popup and size it so the other form can be seen. You should be able to park the search form on another monitor regardless of which method you use. An alternative would be to have the search form as a second subform without setting any Parent/Child relationships between it and the other form(s). Not sure why you say you can't interact with a form when the search form is open. Could be because you're opening it modal, or you're using tabbed form view.
EDIT - just noticed you're using acDialog, which is a window setting, which is the same as setting the form's modal property to true. That's why you have to close it to get at anything else. Try setting the popup property to True and don't use acDialog or modal property.
The more we hear silence, the more we begin to think about our value in this universe.
Paraphrase of Professor Brian Cox.