Probably not. If cute means "attractive" then it's an acutely subjective issue; it certainly doesn't mean good looks, youth or the ability to crack good jokes. I'm attracted to a good mind, someone who is articulate, expressive, open, honest, responsible, empathic, intelligent and a free thinker. But I don't fall into adoring easily. I'm wary of adoration because I think it tends to put someone on a pedestal whence they necessarily fall. I prefer getting to know the whole person. With me, that includes friendships, not just my beloved.
That said, today I told a young IT professional that if I had been 18 I would have fallen in love with him on the spot. He had just spent an hour with me, for $50, teaching me how to do things that most digital natives take for granted. He was patient and clear and he helped me learn things that had been frustrating me for a month. I felt such gratitude that I was close to tears.