Can you change a bad first impression?

Thanks to advice on here I can see I’ve probably come across to the girl I like as a bit of a try hard and I’m working on turning that around into the more funny, banter, playful type. I’ve not known this girl for long maybe 4 weeks and we’re both in our twenties. I’m hoping because we’ve both known each other for such a short time I can change that initial first impression I think I’ve given her before I bite the bullet and just ask her out. I’ve been working on faking my confidence and as hard as it is I think I’m coming off as more laid back. Can I redeem myself?