Turning clicks into money? (amazon affiliates)

I was wondering if I get people to click my amazon affiliate link to a product they are not interested in,
and they buy something 3 weeks down the line because the cookie is still their , would I get paid?

So let's say I get 1000 clicks, and out of those people 1 person spends $100 a month on amazon, would I get 3$ a month from that person?