According to dream psychologist Ian Wallace, dreaming about calling the wrong number "suggests that a logical way of communicating with someone [...] is not really working anymore," according to Best Life Online. It can also be a sign that "a specific personal behavior used when being with a particular person" may not be working, either. Wallace also notes that calling the wrong number "is also experienced in dreams about computers and calculators where the dreamer keeps pressing the wrong buttons." According to the psychologist, "this reflects that what they are doing in waking life just doesn't add up."
It seems that dreaming about calling the wrong number stems from your connections to people more than anything else, as Dream About Meaning notes. It could be your subconscious telling you that for some reason you're not able to effectively communicate with someone.
There's also the possibility that the dream is rooted in something more personal, like feeling rejected by your friends, family, and society in general, according to Dreams Directory. Or that you even feel stuck in a situation, and your subconscious is trying to tell you to change it.