No. To be clear, schizophrenia and autism are diagnostically opposite in both presentation and aetiology. In fact, the presence of one rules out the other. These are mutually exclusive conditions. While schizophrenics are delusional/psychotic, autistics can be hyper-real and logical et al. The co-occurrence of these two conditions is so diagnostically rare (<< 0.1%), that it's considered practically null. Now, sometimes young adult Aspies (who are in crisis, for example) can be (temporarily, hopefully) misdiagnosed, mostly because of misinterpretation/misunderstanding by any given practitioner.
Amongst certain laypeople, I have encountered confusion between these two and it's always the wrong direction. There are very real and distinct differences in neuroreceptors between these two opposite conditions (& I'll not go into details here now - besides I already have on historic posts). And so much more. It is well-established that these are truly opposite conditions.
It is true that long ago autism was termed 'childhood schizophrenia' (although the onset of schizophrenia is early adulthood, but nevermind here). The reason was because there simply was no other diagnostic category! Yes, doctors/practitioners did know this was amiss, but there was no recourse. Make no mistake that these are synonymous. Remember too that was the time when psychiatrists correlated mental illness with unwholesome living, devil possession or even Satanism. Long gone are the days that autism is caused by 'refrigerator mothers' (or other nonsense). Of course we know better now, and these outdated notions are downright silly.
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The ones who say “You can’t” and “You won’t” are probably the ones scared that you will. - Unknown