If yes, how?
OS: 32-bit Red Hat Enterprise Linux Client release 5.4 (Tikanga)
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Not directly. You need to be running a 64-bit kernel to run 64-bit apps.
You may be able to do it via virtualisation though. VMware supports running 64 bit VMs on a 32 bit host if the CPU(s) have support for the required features (not all 64-bit processors do), and I presume some other virtualisation platforms can do this too. You could try install a 64-bit variant of Linux in a VM on running on top of your existing machine's 32-bit OS and run the 64-bit app in there. This might not be at all convenient though, depending on what you are trying to do with the application.