Generally speaking, in high school, yes. As you get older and enter into college, your relationships and friendships mature, often including girls that you find interesting, but not necessarily cute. There's a lot more girls to choose from on a large college campus, plus there aren't any cliques. It is easier to make friends with a girl without having the feeling that you are ruining your chances for dating other girls. At 16, your age, most of the boys will make friends with a girl if he thinks she's cute, or if they share a common interest. It is a very difficult age for boys socially in general, I remember those years.
Well cute is an objective term but I think many guys do do so more often then not. I think it also goes the other way too though, do you try to befriend guys that you find cute? The word attractive I think is the important one. I think there is has to be a level of attraction, this doesn't necessarily mean physical but most of the time people will be shallow. I normally try to give everyone a chance but would fall into the shy category which would mean I do not make friends with no effort which would yield the fact that I try to befriend people I am attracted to...most of the time.