Yes, it is possible to have Asperger's and not have a high IQ. While people with Asperger's Syndrome often have higher-than-average IQs, this is not always the case.
People with Asperger's Syndrome often have difficulty with communication and social skills, and may display repetitive behaviors and interests. This can lead to difficulty in school or work, as well as in relationships. People with Asperger's Syndrome may also experience sensory issues, such as sensitivity to sounds, lights, or textures.
However, these difficulties do not necessarily correlate to IQ. While some people with Asperger's Syndrome may have a higher-than-average IQ, others may have a lower-than-average IQ. IQ is not necessarily an indicator of the severity of Asperger's Syndrome, since the symptoms and challenges faced by individuals with Asperger's Syndrome can vary greatly.
It is important to note that having a lower-than-average IQ does not mean that a person with Asperger's Syndrome is any less capable or intelligent. It simply means that they may face additional challenges when it comes to understanding and interpreting social cues, communicating effectively, and navigating the world around them. With the right support and accommodations, people with Asperger's Syndrome and lower-than-average IQs can lead successful and meaningful lives.