I'm afraid not. That programmer only programs a limited subset of Microchip PIC microprocessors.
If others are correct and your original chip is a mask-programmed 8048 (is it a 40-pin device?) then a logical drop-in replacement would be the 8748, which is the version with a windowed EPROM built in.
Even if that is so you would need:
-A blank 8048 or a used one and a UV eprom eraser to empty it before programming it
-The code to program into it
-A device programmer which can program ancient microprocessor ICs, and a computer to run its support software (usually DOS) and hardware interface (usually a parallel port).
Historically there were any number of device programmers which could program eproms of various sorts but only the high end (expensive) ones could program a large range of microprocessors as well. Two examples which I personally know can program the 8748 would be the EMP20 (Needhams Electronics) and the ALL07A (Hi-Lo Systems), both long out of production.
Obtaining all of these things amounts to a lot of trouble and expense - I would explore every other possible avenue before assuming that the keyboard microprocessor is dud, unless it has a gaping hole in it, glows orange, or is cracked in half of course. For example, are you certain that none of the keyboard key contacts are stuck in the closed state? If there are PCB tracks on one or both sides of the keyboard PCB, check for signs of old liquid spills which are a classic reason for keyboard failure. Any fluid which has been spilled or dripped onto the keyboard at any time may have rotted away a small portion of copper track or a link wire somewhere.
What are your symptoms? No keys working? A row or column of keys not working?