Does gmail had a built in feature that it will only send out an auto response to another email account X times per day?

Ive got an email account on a custom domain running on Google Apps For Business (Gmail).

Ive set up a vacation auto responder on one of the email accounts, but when testing it only seems to send the auto responds sometimes.

I was wandering if gmail had some built in feature that it will only send out an auto response to another email account X times per day ?