He probably did inherit the Solo luck, but with the Force, had at least some ability to offset it. The lightsaber definitely helped.

What was coming through the comm was a cacophonous mix of a shrieking rathtar, a crackling lightsaber, large thumping noises and Ben's yelling. There weren't any real words to make out, just grunts and shouts as he fought it off.

The creature's tendrils had a longer reach than his lightsaber, and there were more of them. Ben got snagged a couple of times, tugged up in the air only to fall back down when he cut the appendage off. Still, it kept coming at him with its mouth open, desperate for a meal.