No. We are not physically handicapped. I was a star runner and hurdler in track, and always finished in the top ten at Cross Country Running. I sucked at football, Baseball, and Basketball.
Actually I found this article that talks about an athlete with aspergers who has won medals in the Special Olympics.
http://www.boston.com/news/local/articles/2007/04/19/for_man_with_aspergers_ice_levels_the_playing_field/
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Yes, a person with autism can take part in the paralympics because autism can be considered a disability (although it isn't a disability for everyone). For example swimmer Jessica-Jane Applegate is an autistic paralympian.