Yes, some have done it via scotch tape or something similar like duct tape, a strong one though and one that can be removed without leaving marks behind.
You might be able to pick up cheap suction cups at your local "poundstore" - they are the ones used for hanging tea-towels on kitchen walls. I got mine for 79 pence each in the UK.
You can with duct tape or the like, but it's a little risky.
Worth buying some suction cup handles - it makes the job a LOT easier and reduces the chances of damaging the panel. You can pick them up for next to nothing on eBay