Yes, but don’t make it the lede.
“Hello, I wanted to follow up on my interview on 2/25. It was a pleasure to meet you and Larlo and hear more about X job at Y company. I’m confident that this job would be a great fit for my skills. <something specific about fit>. I have received an offer from another firm, but Y is my first choice. I need to get back to them soon. When do you think you might be making your final decision?”