Yep, the bichon down my park does

I have seen many breeds from great danes to chihuahuas and Newfoundlands to Greyhounds do agilty I have seen a few basset hounds also do it with no problem, so yes aslong as the dog is healthy then they can

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R.I.P Barney, I had 4 wonderful years with you, Thank you-29/04/06-25/11/09
The dog who saved my life
Proud owner of Maya, the Rescued Alaskan Malamute

http://www.dog-breeds-plus.com
Mine and My husband's Dog breed website