Actually you can keep any fish in an uncycled tank as long as you are willing to do the requisite number of water changes with well matched changing water. The absolute minimum I think one can get away with is about 25% every other day. More may be necessary depending on the tank and fish involved.
Depending on the fish and tank size, it is also possible to set up a new tank for long term use with enough plants to deal with ammonia.
So yes there are ways to get arouind cycling.
But in the vast majority of situations it is a heck of a lot easier and reliable to have cycled tanks for the long term housing of fish