I did not look at the driver, but since there is no indication to the contrary on the download page, I would assume what Mark Smith points out: It will not be in the proper binary format for the Raspberry Pi.
A primary characteristic used to classify processors is their architecture. By far the most widespread architecture used in desktop and laptop computers today is the performance oriented x86(-64) ISA, used and developed by Intel and AMD. For mobile and embedded devices, it is the more energy and cost efficient oriented ARM ISA, of which there are various subcategories with varying degrees of compatibility. The Pi is ARM based (the 3 is ARMv8, the 2 ARMv7, all the others are ARMv6).
For whatever reason, printer manufacturers are particularly virulent about considering their drivers intellectual property. They do not distribute source code or publisize the communication protocols used, and although the latter can be reverse engineered, the constant evolution and myriad array of printer models makes it very difficult for anyone doing this to keep up, particularly since they are not likely to be compensated for their efforts.
Anyone who has tried to get a printer to work from a smartphone has likely run into this problem and some major manufacturers (at least up until fairly recently) charged large licensing fees to anyone making apps that served this purpose, so despite having spent a few hundred bucks on their printer, you still may have to pay them (directly or indirectly) another $20 just to use it with your phone. :/
Since Android is linux kernel based and many smartphones share the same architecture as the Pi 2 and 3 (less likely with A/B/+/0 models), it might not be impossible to adapt those for use on the Pi, although I do not know how truly feasible, difficult, or legal this would be.
To summarize: You are out of luck with this.