I couldn't find whether the 68701 is object code compatible with the 68HC11 which would be the primary requirement since you don't have the source. It can't be compatible with 68HC12 as this is not compatible to the earlier 68HC11 which is closer (historically) to the 68(7)01.
Regardless, from a quick look, the memory map is certainly different, e.g. registers at $0000 -- 68HC11 could have them moved there, vectors at $BFF0, and so on. This is a significant problem.
The registers are most likely not at the same offsets from zero even if relocated from 68HC11's default of $1000, and they are very likely not functionally compatible, so I would say, your chances are very-very-very-very slim to get this binary working on a different MCU without significant modifications (patches) to the original image.
But, for this you would first need to disassemble and understand the code. But, if you have to do that, then it'd be a simpler task to just rewrite it (having the disassembled source) for another CPU (I'd go with the 9S08) than to patch the original binary. 4KB of code should not be too hard to disassemble correctly but it would still be non-trivial work.
Another option would be to recreate the same functionality into a newer controller. Forget how the original did it, just get it done again for another MCU. For just 4KB of binary the complexity of the original code cannot possibly be that much, and possibly it would be less work overall.
Your final option would be to write an emulator for the 68701U4 that will run on a faster CPU of your choice.