no, the math teacher is the gorilla. you can go on an unofficial date with him in the prologue before you meet with the Bara Godmother. The black jaguar is just a side character that teaches astrology. Chester (the bull) does have a route, so if you love big-bodied guys, you can give his route or Dozer (the Komodo dragon) a try.
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I think he was a cameo of a character from Stories from the House of Beef Gym, but we will have to wait and see in future updates. You basically stay in the classroom with the coach on day 2 I believe and then just head home, you should be able to encounter him after that. I just encountered him while replaying the coach's route, so I didn't really know what I was doing while playing through that part since it was new to me.