Hi Amy,
Yes, you should reach out to this guy. When you cancelled on the date without giving him a reason, he could have easily thought that the issue was him. He may have thought that he did something to turn you off.
The both of you were getting along before the cancellation. He even convinced you to keep texting him after you informed him that you weren’t comfortable with meeting a stranger from a dating app in the city. He clearly wanted to see where things would lead. The fact that you are thinking about reaching out to him shows that you clearly liked some or a lot of what you learned about him.
It would be to your advantage to reach out instead of leaving this alone. The sooner you do, the better. The cancellation is still fresh and he may still be holding out hope to hear from you. If you wait too long to reach out, he could find someone else on the dating app that he connects with and you could lose any chance at getting him to give you another opportunity.
The idea of inviting him to dinner to make up for the cancellation is a good one. It shows that you are truly remorseful and you are putting your money where your mouth is in trying to make it up to him. Don’t wait on this one. Message him now.