I strongly believe that you can train pretty much anything with some patience, whether that’s a physical or mental attribute. You might not manage to be a world champion Scrabble player, or runner, but unless you’ve been trying hard to improve it for a long time already you’ll have the capacity to improve.
While I was training for competitive kayaking, I knew on some level that it was building my mental toughness. We even used to do sessions that were mainly for the mental side. I remember doing ‘minute challenge’ once - 1 min bench pull, 1min rest, 1 min bench press, all times 6 (or 10 if you’re totally nuts) and finishing a couple of reps behind (from 500+) and that was certainly a mental exercise.