It's possible. I don't have any Linux desktop systems anymore, so sadly I can't test (same with Windows). I just thought in general the 64 bit systems can run 32 bit software?
For the most part, I understand that they can run, but if a dependent driver isn't there (because it's no longer supported for 64 bit or hasn't been installed to specifically cover it) then it won't run.
I did some research and it looks like there have been some problems if you aren't using the proprietary graphics driver for AMD/ATI graphics cards. With the start of Ubuntu 16.04, this driver is no longer available for use (compatibility issue) and a revamped open source driver was developed with AMD/ATI. Works great, but could be the snag behind this as well.
If I find new information, I'll report it.
