Can I run a 64-bit VMware image on a 32-bit machine?

Yes, running a 64-bit OS on a 32-bit processor in VMware is possible.

First of all, see if your CPU is capable of running a 64-bit OS. Search for 'Processor check for 64-bit compatibility' on the VMware site. Run the program.

If it says your processor is capable, restart your computer and go into the BIOS and see if you have 'Virtualization' and are able to enable it.