There's a few good ways that I know to make money online without having a website.
You can setup an ebay store and sell things that you can drop ship or even go to thrift stores and purchase things cheap and sell for profit on ebay.
Look on ebay to see what things are selling. Some game Jersey's such as Football Jersey's you can buy at thrift stores have been known to sell for a good profit on ebay during the football season.
You can also sell T Shirts that you design and have another company print them and then ship them to your customers.
Other ways to make money online without a website are to do freelance work or take some online surveys.