Luck can be very important in Splinterlands. So important that it can literally determine whether you win or lose the battle. Yes, there are battles, where only (either your or your enemy's) luck determines the outcome of the battle.
The battle below is a good example of/for this. I won this battle only because the enemy Cave Slug monster missed its attack against my Elven Mystic monster.
https://splinterlands.com?p=battle&id=sl_f94914f3a7d335f86d825ae006552084&ref=xplosive