There are some statistics which say that people with higher IQ tend to have harder socializing, but it's questionable how significant this correlation is. It isn't surprising, though, for various reasons. However, if having high IQ means increased probability that one may have social problems, the opposite isn't necessarily true. Reversing the statement is a logical fallacy. Birds have two legs, but if a creature has two legs, it doesn't mean it's a bird.

SA doesn't mean high IQ and high IQ doesn't mean SA. These are two different sources of social issues.
There are various views and theories on intelligence, and it depends on what one label with this word. There are some problems with IQ tests: they usually assess only a portion of the entire spectrum of mentality (which is still mystery for us), they are more or less culturally biased, people may perform differently under pressure (timed vs. untimed conditions), etc. On one extreme, we have those experts who trust IQ and IQ tests, and on the other extreme are those who say that tests perhaps measure something, but it isn't clear what it is (could be just one's performance on a particular test at particular time). Personally, I like the region around the middle point - tests do detect -some- potentials and tendences in mental qualities, but this is more or less blurred, they are not as precise in saying it all as one may think.
You may be surprised to learn that IQ tests were initially created to detect deficiencies and problems (compared to the mean of the population) and not to indicate giftedness. In fact, their own creator thought they are not reliable for this.
I've taken a few normed tests and have been measured with relatively high IQ. So what?