There is, yes. The rumor mill suggests that the default limit is 30.

At $DAYJOB, we had a (not very special) special arrangement with GCP, and I never heard of anyone who was unable to create a project in our company's orgs [0].

Given how Google never, ever wants to have a human do customer support, I expect a robot will quickly auto-approve requests for "number of projects" quota increases. I know that's how it worked at work.

[0] ...with the exception of errors caused by GCP flakiness and other malfunction, of course.

Many products using the Cloud APIs auto-create projects. I know of AI Studio and Google Script (including scripts embedded in Docs, Sheets, etc)

So many organizations have the IAM "Project creator" role assigned to everyone at the org level. I think it's even a default.