The type of system doesn't matter as you can run 32-bit Windows on a 64-bit machine and you can run 32-bit Python on 64-bit Windows.
If you have 32-bit Python, you just need to install 32-bit pip. (Or you need to switch to 64-bit Python.) From your problem statement, I think you have 32-bit Python on 64-bit Windows and attempted to use a 64-bit pip.
Just installing pip is enough to install any pure-Python packages. But if you need to install packages that include C extensions, you will then first need to set up a compiler (either MSVC or MinGW/gcc), as described in the pip documentation.