Of course regardless of where you get refusal it will affect your future applications anywhere. You will find it difficult to go to Australia, New-Zealand, Canada and most western European countries with multiple refusals.thats strange usa visit refusal can also impact on canada study permit? if this is the case than I think my wife won't get canadian study permit please tell me should I let my wife apply ? what are the chances?
If you are able to explain why you or your wife got the refusal and what has changed since then, then go ahead apply.