Is it possible to install a Windows XP driver on Windows 98?

No. The architecture and kernel of pre-NT windows was very different than NT. Drivers are not compatible.

What you might try is finding a print to file option, then set up an automated script to then send the file across a network connection to a computer that is capable of printing the file.

You should do this over an internal only connection, as a window 95 computer should never be exposed to the internet.