No you're not. Not at all. But he's probably in the same position as you wondering the same thing. I don't know how your date went.. But if he paid, like I have in the past, I would hope NOT EXPECT.. But hope to at least get a text saying "Thank you for tonight! it was really fun, let me know if you would like to do this again sometime, cus I sure would!".
Trust me, he's probably wondering why you haven't messaged him. But if it went good and you would like to see him again. Why not make that first move? Later into the conversation no one will really care or remember who made that first move.