No. You are channeling teen anxiety and an incorrect belief that there is some magic set of interpersonal skills unique to dating. You have been on hundreds of “first dates” in the past twenty years – meeting people for the first time, making a great impression and establishing a connection – the only difference here is the potential for physical contact and a more exciting future.
As soon as you bring up the topic of “this is my first date” then the topic will turn to your past relationships and the process of dating, not the more important topics of the two you getting to know each other.
If it is more than you can bear to hold this topic, then bring it up in the context of “I’ve been so looking forward”, not “I’m so nervous”.
Give yourself a break and enjoy the evening.