I'm biased, so maybe somebody who didn't make the game can weigh in, but I'd say yes, definitely! I played a game of Escape from Dino Island with someone who'd only ever played D&D 5e and never DMed anything before and it was a blast. I think it makes a great first game because you and your friends probably know a lot about how these stories are supposed to look/feel (and that's half the battle) and also because it's a short game, so the stakes are pretty low. A couple best practices that might be helpful:
- Don't sweat the small stuff. The game has a lot of rules about mysteries, locations, the Extinction Event, etc. These are there to help you as DM, not overwhelm you. I've run games of EfDI where I almost completely forgot about the Extinction Event because there were plenty of other things going on and the game went great.
- Don't feel the need to call for a roll all the time. This is a big one coming from D&D. If someone's a doctor, they can probably look at an injury and assess it. If someone's a kid, they can probably sneak through a small hole (unless they're being chased by a hungry dinosaur). If the Heroes see a helipad in the distance and want to hike to it, you, as DM, can decide whether they're going to have encounters along the way or whether it's just "You hike for 2 hours through jungle and arrive sweaty and exhausted at the helipad." Trust your sense of pacing and what feels exciting!
If you do end up running the game, let us know how it goes!