If you have enough random repetitions of events with fixed probabilities, things actually become quite predictable.
That's the case with this game. You're rolling a lot of dice each turn, over many turns, and each turn you're normally rerolling quite a few dice. Outcomes are pretty consistent, all in all. You might get that odd turn where Vader/Raider dual-wielding lightsabers produces zero damage after the rerolls, but that's pretty rare. The dice, I would say, are much less random than recall bias is likely to suggest.
There are some swingy cards, however, that can be amazing in some circumstances and good for nothing but a discard in others. Block and Dodge come to mind, as does Deflect. If your opponent is specialising in the damage type you are foiling, you have an incredibly economical effect, if they're not, you have a card to discard for rerolls.
Fortunately this can be mitigated by in game decisions on both players parts. There's all sorts of ways to minimise your risks of your guns deck being Dodged (firing off damage piecemeal, disrupting, discarding, and so on).
So this game does have luck to it, but I would say no more than in FFG's LCGs, like Conquest, or Thrones. This game is certainly less prone to "strong 1st turn wins the game" than those games.
However, it really is the distribution model that throws the element of chance in there. Ho hum.