Possibly, but we recommend an Apache or Nginx server, not Litespeed. The configuration for lppd hasn't been tested or optimized, and we really don't have the knowledge needed to support it. If you have the skills to tweak it, I'd say go ahead, but the fact that you're asking probably means you would do better with another host.
Feel free to check out the Resources tag, there are several discussions there for Flarum hosting. There's a few people in our community who also provide hosting.
