Leetown

The answer is yes, but your question leaves it open. Syaoran said the browser already saves cached information, but you can control all that. Use a VPN if you're worried about your data being exposed. 

All ISP's use their DNS servers to use the websites you visit to target advertising and products at everyone.  Do they save things like your credit card when you purchase something online from a merchant or the information you fill into online forms.  No, but your web browser can and more than likely will.