The same product key works for both 32-bit and 64-bit. Bitness doesn't matter, so your question should be equivalent to: Is it okay to install Windows 7 and then reinstall it later? And the answer ...

No. 64-bit Windows will not run on 32-bit architecture, and, in fact, you can't even install it. That said, you can install and run 32-bit Windows on any hardware, both 32-bit and 64-bit.

For most would-be Windows 7 users, a 64-bit version of Windows 7 is the right move. But if you don’t have sufficient RAM (at least 4GB), or you rely on devices that don’t have supporting 64 ...

Personally, I would suggest you to use a download manager to download these files to ensure proper downloading of these huge files. Windows 7 Direct Download Links 64-bit Windows 7 Professional x64 ...

Not sure if your installed version of Windows is 32-bit or 64-bit? One quick way to tell is by looking at information about your operating system installation in Control Panel.

If you're running a 64-bit version of Windows 7 or higher there's finally a version of Firefox designed to take advantage of your system.

Please contact the software vendor to ask if a 64-bit Windows compatible version is available. Why do I get an Unsupported 16-bit Application error on Windows 11/10?