Q.I Have A Ginkgo Tree That I Planted Almost 2 Years Ago. It Has Some Branches That Seem To Be Extending Be On The Natural Shape Of
the tree. Plus I have a competing branch at the top. Is it OK to do some pruning right now I’m planning to sell the house, and I won’t be here in the fall. I also have a similar question about pruning my skyline locust. I’ve also attached a couple of photos of that tree. The locust was planted a year ago.

Certified GKH Gardening Expert
You can do light pruning now since you are moving, such as removing the competing leader at the top of the Ginkgo. I don't see photos of the locust, but light pruning should not hurt it either.
https://www.gardeningknowhow.com/ornamental/trees/ginkgo/how-to-prune-a-ginkgo.htm
https://www.gardeningknowhow.com/ornamental/trees/locust/skyline-honey-locust-care.htm