Welcome to the forum! =)
Yes, that will definitely be no problem at all.
Just always be sure not to get too too small of a horse. That's something that applies to everyone who rides.
The general rule of thumb is that a horse can carry 15-20% of his body weight, but it does vary. Things like breed, body type, fitness level, and the condition of a horse's joints and back all need to be taken into account as well.
Here is a website with other ways to calculate how much weight a horse can carry: Methods to Calculate How Much Weight A Horse Can Carry - horsetype.com - For all types of horse lovers!
Best of luck and happy trails!