No. Sports betting is not legal in Alaska, though there are signs of that changing in the future.
The issue as of 2020 was that Alaska had no lottery, physical casinos, horse racing tracks or legal poker rooms. While the governor introduced a bill that would include lottery and sports betting in early 2020, it'll likely be a process before that gets enough backing to pass through. There may be signs of hope, but projecting 2021 for sports betting in Alaska may be overzealous.
The bright spot for Alaskans is that Daily Fantasy Sports are considered contests of skill and in turn, legal. That being the case, there is no formal law regulating fantasy sports.