Is there a limit to the number of short link for Firebase Dynamic Link?

The quota is listed in the Dynamic Links documentation:

Requests are limited to 50 queries per second 5 requests/IP address/second, and 100,000 200,000 queries per day. If exceeded, then the response will return HTTP error code 429.

To request for more quota, fill out this form.

So, up to 5 requests/IP address/second, and 200,000 per day. (as of August 15th 2019)

There is no documented limit to the number of short links you can make in a day. But the service is monitored for abusive behavior.

From the comments: If your use case involves creating hundreds of short links per second, it is best to reach out to Firebase support to discuss your requirements.