I don't think a 10 MHz Z80 and 512 KB of RAM is enough for DOOM as we know it. There are some games called "doom" for the similar Ti 83/84 calculators, but they're more similar to Wolfenstein 3D: very cut-down from what DOOM is actually like.
https://www.ticalc.org/archives/files/fileinfo/238/23843.htm...
https://www.ticalc.org/archives/files/fileinfo/419/41975.htm...