Besides that it won't work? No.
You can install a 32b env on a 64b processor, you can not do the reverse.
Edit: (this applies to windows, linux, etc... everything.)
Edit2:Can I run 64-bit programs on a 32-bit computer?
Edit3: Also, be aware there are some ways to 'cheat' this via virtualization and massive speed hits, but by and by, it doesn't work on bare metal.