Both .jp2 and .jpe files are JPEG images, albeit with having uncommon extension and being of different types, still pretty much the same as jp2 to jpg conversion. Most graphics editors should recognize JPEG format regardless of the actual file extension and same goes for various graphics converters, so jp2 to jpe conversion should be doable. Renaming the suffix to jpg might "work" but it will remain the more advanced JPEG2000 format.
Updated: July 7, 2023