My guess is probably not.
Generally homebrewers sanitize, not sterilize, so some wild yeast and bacteria winds up in just about every batch of wort we make. The trick is to keep their numbers down so that the yeast we do want simply overpower them via sheer numbers.
Time will tell, but with just one dog hair, I think you'll probably be fine.
Fermenter #1 (6.5g): Empty
Fermenter #2 (6.5g): Biermuncher's Cream of Three Crops
Fermenter #3 & #4 (1.0g): Empty