Is it possible? Yes and a very common natural response of the plant to heavy pruning. It's a game. Plant says, "OK, you cut that one off and I'll show you. I'll grow two over here and another up there."

Especially with indeterminate cherry varieties. It is their nature to go wild whenever possible.

So if you decide you want to prune then you gotta keep at it almost daily because it will beat you if it can. :)

Dave

Dave,
That makes sense, thanks! It actually has 2 suckers.. on a flower branch, who would have thought? And you're so right about daily pruning. Those tomatoes are growing what seems like 3 inches overnight!

To Prune or Not to Prune, both are options open to the gardener/grower.
About suckers and branching:
I have noticed that not every branch out can be labeled as "suckering". Some varieties tend to branch out and get bushy. For example my Mortgage lifter has 2 branch outs. This branching habit is more common in peppers and it is not a suckering. The so -called suckers normally start much later in the game at the lower nodes. I do prune 100% of such growth on indeterminants but I am not doing that with my determinants. That is my option.

My plants are being pruned to 3 stems and they are showing the same flower suckers. I may leave a few leaves of this sucker intact for shade purposes, but otherwise I prune it to stop it.
I have also noticed that some of the main stems break into two main stems, and by the time I notice it, both stems have a flower cluster, which makes it hard to decide which one to keep and which one to grow out. So I have been keeping the "sucker" stem but only to right after the flower stem. Maybe leave a couple leaves for shade. This way I get that extra cluster of flowers, but it will not grow any more after that.