Once you have managed to retrieve the data from the EPROM you can copy it to a NVRAM. I'm sure that you will find a chip that has the same address and data lines. Just hook up a battery backup supply and you can switch between your gear and the arduino rig, no need to Erase and reprogram EPROMS. I have done this in the past, a long time ago and it works without any problems.
if it is non-volatile why the need to batt. backup. which wont work for me b/c these sensors can spend alot of time unplugged.
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It is somewhat common for test equipment to store cal data in SRAM with a battery backup connected to the SRAM, which can last years. Maintaining data is SRAM doesn't take much power. You can search around this forum and find numerous threads about changing batteries in benchtop multimeters.
As I understand it a 'true' NVSRAM essentially contains an internal battery, with a specified lifetime (e.g. 10 years).
I am guessing there isn't much room inside the power sensor to make a mod like adding a battery. Guess you could just duck tape it on the outside

Getting a pin compatible (NV)SRAM is probably going to be necessary, at least for figuring this guy out. The datasheet on your EPROM suggests a 35minute erase time. Trying out different tweaks to the data might be quite painful if it takes close to an hour to tweak a bit and try it out.
What speed grade is your chip? The data sheet lists 20ns, 25ns, 35ns, and 50ns variants. A quick parametric search on digikey suggests that getting 20ns or faster severely limits your options.