Can you make money using amazon affiliate links through twitter?

I'm doing it so it's definitely possible. Thing is though, you'll have to follow the right people (those who follow key people in your niche), come up with catchy text and get ready to get tons of clicks at low conversion. Don't just spam links though, mix it up with actual content - quotes and jokes relevant to your niche are the easiest if you're having writers block. You'll need to post hundreds of tweets a day, so a mass tweet autoposter like Tweet Demon, spinning software, bulk url shorteners and retweet exchanges are your best friends. It's also a good idea to pose as a good looking woman - I can't see any other reason why my product links are getting naturally retweeted and favorited.

Indeed it would be better to promote amazon links using a dignified website for affiliate marketing.

This is almost like amateur cookie stuffing. ALMOST... (not really)