Sort of. Although there isn't a free trial available through HBO Max's official site, you can get a free week of the streaming service if you add it to your Hulu subscription. It's also worth noting that, while it's not really a free trial, HBO Max has a Watch For Free section on their website where you can watch select episodes of popular shows like House of the Dragon and The White Lotus for free without a subscription.
A relatively new streaming service, HBO Max has quickly made it to the front of the pack by offering tons of great old and new content, from original series like Euphoria and Westworld to recent blockbuster films like The Batman and Dune. If you sign up via Hulu, you'll get the first week of HBO Max for free, after which it's $9.99/month for the ad-supported version or $15.99 for no ads.