I dont want to say "no" , because anything is possible...
Under normal circumstances I would probably say "no", but I guess someone could, I remember reading several articles along time ago about Micro$oft Office problems, where a website operator could post a certain kind of file (Dont remember what kind though), and a visitor with Office & IE installed would unknowingly automatically download the file and execute it. The option to Auto-Download these file could be turned off and I think the vulnerability was patched.. So I guess the only way someone could do that is by expoiting some unknown vulnerability.
I wouldn't be worried about it though! (But if you are, use Netscape (IE is too buggy) with everything turned off (javascript, autoinstall, java, etc)
