No it is not. An EPROM in a computer IS NOT WRITABLE - Period - End of Story.
In a computer, an EPROM is Read-Only Memory - one can not write to an EPROM in a computer.
My emphasis. Is that your definition? That it's impossible to write to an EPROM in a computer? Sorry, it's possible. Just open the case, flash it with the right frequency of UV for 10-20 minutes (or leave it outside in the sun for several weeks), stick electrodes on the pins and push some voltage. Tada, it's written. Not that I'd want to do that, but it is possible.
If I wanted to, I could build a computer using an EPROM to hold some data, but build in EPROM-burning circuitry and fix a switchable UV light above the chip. There you go, today's easy software EEPROM flash-memory abilities in an old EPROM chip. The flashing would just take a little longer.
"But it's not a convenient writing." Doesn't matter, it is writable. Me flipping the write-protect switch on my USB key and putting a drop of superglue on it does not change the nature of my EEPROM USB key to a ROM.
See 875.