I cannot recall an instance of no contest for a north american race. I'd think the situation must have come up once or twice over the years. I recall reading rules or rulings declaring a thoroughbred runner a non starter for various reasons. It is not uncommon for this declaration to arise in harness racing particularly with trotters.
Here's what popped up for me.
No contest parimutuel race.
Iowa law defines no contest.
“No contest” meansthat a specific race has been declared “no contest” by the stewardsin accordance
with the pari-mutuel rules and rules of racing for that breed and that certain pools shall be refunded.
A thoroughbred race from 2012.
TwinSpires.com | Talamo talks no-contest race at Santa Anita | Bet ...
http://www.twinspires.com/news/2012/...ce-santa-anita
Oct 27, 2012 - Talamo talks no-contest race at Santa Anita ... Pick All, the race was considered an "All" race for pari-mutuel purposes and the tickets were live.
Also GP two years ago.
Gulfstream's Race 10 Declared 'No Contest,' Rainbow 6 Carryover ...
http://www.paulickreport.com/.../gul...ainbow-6-carry...
Mar 16, 2014 - Because Race 10 was declared a 'No Contest' all wagers on the race ... It used to be said that because of the pari-mutuel system of betting, the ...
A harness race from 2014 declared a no contest!
Sixth race at Flamboro declared a "No Contest" :: Harnesslink
http://www.harnesslink.com/News/Sixt...-a-No-Contest-
Jan 20, 2014 - The sixth race on Flamboro Downs' Saturday afternoon card of ... The race was declared a 'No Contest' and all pari-mutuel tickets were ...
More common than I expected. All are first page results. Interesting question.