Can I swap the logic boards on an Intel iMac (early 2006)?

I bought an iMac 17 inch Core Duo (logic board 820-1919A) which has a faulty logic board (I believe)...).

The mouse cursor always freezes and I cannot install Mac Os X because ist also freezes. I swapped the hard drive but it did not help.

My thought is to replace the old logic board 820-1919 A (early 2006) with a logic board from an Intel Core 2 Duo (logic board number 820-2052A).

Is it possible to swap those boards? I heard the holes for the screws and the connector for the power might be different.

Thank you for your help!