Well...
It will probably make it, but not real well. You will need to be careful about the nozzle size on your spray gun in order to balance the height of spray against the atomization. I have used roller pumps for lawn applications, mostly on boom sprayers. It will probably be ok if you do it on a really calm morning, and everything else is tested out in advance.
Tree spraying done well requires not just a stream that goes as high as the tree, it also requires teeny tiny droplets that penetrate into all the crevasses and give good coverage. A powerful fog is best, and makes the best use of your time and chemical.
Too big a nozzle, you get big droplets and poor penetration, despite spraying as high as you need to go. Then you waste chemicals with too much runoff. No Problem, just dilute the chemical and spray more water, right? No. Then you accomplish less by putting too dilute a product onto the tree surface.
Too small a nozzle: great atomization, wonderful penetration. Perfect for the job, except there is a much higher demand for horsepower to overcome the force required to make those tiny drops. Adding engine horsepower won't help, each pump can only deliver so much horsepower to the line, then it falls short.
Nozzle is just right, you have great atomization, but low flow (too small a pump): great penetration, but the underpowered fog doesn't carry as high into the tree as you would like. It takes volume AND pressure to reach greater heights.
What are you spraying? It might make a difference.