Nope. x32 needs its own set of libraries, like x86 and x86-64. Just as you cannot run x86 binaries on systems that provide only x86-64 libs, x32 binaries will not work on systems that provide only x86 and / or x86-64 libraries. Like x86 and x86-64, x32 is its own architecture.
Support should also be included in the kernel, of course. A kernel that was created without support for x32 support will not be able to run x32 executables.
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