Is it possible to use RAM memory chips from an old MacBook Pro in an old iMac?

I have two old Macs and want to know if I can take the memory chips out of one of them and insert them into the other. Here's the setup of the two machines:

13-inch MacBook Pro mid-2010 — 2.4GHz Intel Core Duo, OSX 10.10.5 — 4GB (2 x 2GB) 1067 MHz DDR3 memory. (Screen + hinge broken, battery swollen, trackpad broken, destined for recycling.)

20-inch Polycarbonate iMac 2006 — 2GHz Intel Core Duo, OSX 10.6.8 — 2GB (2 x 1GB) 667 MH SDRAM memory.

Question: Is it possible to take the two 2GB 1067 MHz DDR3 memory chips out of the broken MacBook Pro and then use them to upgrade the iMac, by swapping them out for the iMac's existing 1GB 667 MH SDRAM chips? Or is that fundamentally impossible for some reason (e.g. the memory slots are different sizes in the two machines, or 2006 iMacs can't use1067 MHz DDR3 chips, or other technical limitations)?