Can I ask a completely random guy to prom?

So my school is super weird and 2 and a half months before prom starts there is this crazy frenzy of guys asking girls to be their dates. The "peak season" for asking is about to be over and I really want a date, but I know that I won't be asked. All my guy friends are taken and me and my boyfriend just broke up and there is a lot of awkwardness between us unfortunately, so neither of those are options. so I'm essentially left asking this guy that I don't really know that well to prom, who I sorta kinda have a crush on. Would you say yes to a completely random girl? And if she asked you would you think she is weird/creepy/desperate/etc.?
Can I ask a completely random guy to prom?
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