No, but there's no reason why Airprint can't work with any shared printer on your Mac. When AirPrint was first announced Apple were going to support this - then they signed an exclusive with HP and disappeared the feature. There's third-party software to do this (e.g. Printopia). At one point, I found instructions for adding the appropriate zeroconf and CUPS settings to my Linux box so I could print to it (but a later iOS update borked that).
On a Mac, handyPrint works wonderfully. I have a networked HP laserjet that predates AirPrint. It's set up as a shared printer on my Mac, and then handyPrint adds the appropriate Bonjour advertising and any other necessary tidbits. Printing from my and my wife's iPhones and iPads works great. I have no connection to the company, just a very satisifed user.
The solution of this problem is trivial and is left as an exercise for the reader.