Daniel ate an edible by accident (was dosed) and Lucy began talking to him about The Legend of Korra and all Daniel could think was "Wow, I really want this kiss person very badly" and also, "holy fuck I'm freaking out, I'm so high right now". So he bolted out the door and never managed to ever get them off his mind again.
Lucy was with someone the first several times they and Daniel went out. So most "dates" in the beginning were just the two of them getting drinks at bars and talking about Star Wars and how terrifying the coronavirus was. They also spent several times at Dave and Busters because Lucy loves to gamble