Can I run 64-bit VM guests on a 32-bit host?

If I have a physical PC with 32 bit can I launch a VM that is 64 bit?
What virtual machine software (Virtual PC or VirtualBox or other) would allow this?

I read out there that VMware may support this but I am looking for something Open source or free.

Host would preferably be a Windows host but could be Linux. Guest needs to be Windows.

Thanks


Question: Who counters Jayce top lane besides Yorick?
Answer: Jayce is an early game menace. He can be ranged which gives him sustain in his own way. Because he is able to push you away and zone you it makes it difficult to harrass him. But he can harrass you all he pleases. And gap closers at early levels tend to have highcooldowns making it so you give Jayce a window of opportunity when you initiate with it. I play Jayce almost every game and within the laning phase I usually go 4-1.  When it come to champs that counter him its difficult tp find one since Jayce can keep his distance or be up close if he so chooses.