Not really. They do make "clean" 22 ammo but that means cleaner, not actually clean.
22 ammo is just plain old dirty. All that lead and carbon just cakes and sticks on everything. There are a lot of cleaning solutions that handle it somewhat good but it's definitely not worth it.
Would it work? Absolutely yes. The actual results though would most likely be that you would have to send your can back to the manufacturer for service less than a thousand rounds in. Either that or you would spend about a literal week trying to clean it out yourself.