Yes, MOC is not tough to get on. Just call in advance and they’ll hook it up. Won’t be a prime tee time, and as I recall it’s something in the $275 neighborhood, but very doable.
Also, not sure where you’re staying on Bermuda, but consider that in terms of where you’re going to play. Tucker’s Town, where MOC is, is basically right by the airport. If you’re staying there or in Hamilton, then MOC is close. If you’re staying in Southampton – maybe the Fairmont down there, or one of the other new resorts in that area – you’re really far from MOC (not in terms of miles, but in terms of driving time - only a single-road lane that moves pretty slowly). When I went a few years ago, I stayed near Southampton and played Port Royal. It doesn’t have quite the same classic vibe as MOC, but it is still a really fun round on a difficult, interesting, well-kept, and beautiful golf course. It has a membership that is actually made up predominantly of locals (unlike MOC) - and their rates are really accessible. I wound up playing early with a pair of members, who were locals, and one other tourist; the members were amazing hosts and made the round extremely enjoyable. So basically, by all means check out MOC, but don’t sleep on Port Royal if you’re staying down there.