The first thing you should do is to download and READ the manual so you know what you're dealing with.
Microcontrollers now almost always have internal Flash and RAM. That lets you build a minimal system consisting of that chip only. That wasn't always the case and also isn't the case now. A lot of CPU chips are made expecting to be used with large amounts of external memory, so they don't have any inside. The 68302 is one of those No internal Flash (but it has about 1k of internal SRAM). Look at the Block Diagram - figure 1-1 in the manual to see this... Except there's a problem. This chip is SO OLD it doesn't look like there's an electronic copy of the manual available. The third issue of the Errata for the manual is dated 1992. If you get the MC68EN302 manual or the MC68QH302 or MC68LC302 you'll have a starting point, but they refer you back to the MC68302 manual for details.
Which you can find at Bitsavers:
https://bitsavers.org/components/motorola/68000/MC68302_Integrated_Multi-Protocol_Processor_Users_Ma...
There are two processors inside the MC68302. There's the 68000 core and the communications processor. The latter has internal ROM-based code, but you can load custom microcode for it.
All the code the MC68302 (and optionally the CP) have to be in the external Flash.
So this has gone from a problem of "custom hardware to read the Flash via this chip" to "far simpler problem of reading and writing general purpose Flash chips".
Just type "flash programmer" into Google and look through the specs to see if any of them can handle the ancient 29F010. Then be very careful as nobody has TESTED programming these for 30 years or more, so they may not work, and may destroy your original memory chip. Read this:
https://www.eevblog.com/forum/repair/any-experiences-here-with-failing-28f010-28f020-flash-memory/
Tom