My gut answer is no, but this is a frequently asked question so I searched the net and these are some answers I found. I can't test any right now cuz we have IE4 at work.
"Ok first off instead of the right clicking thing I just hit the shift keythen click on the link. That opens the link in a new window in IE. When the window opens just use your mouse and drag the sides of the window. Make it the size you want. Then IE will always open windows that size. Hope that helps."
"If you got a 3 button mouse, you can DL software which can bind the maximize command to the middle button for example.. That's what I do."
"No, there is not (a common complaint)"
"Not sure you can make it fully maximized, but you can get close. IE will openthe new window in the same size as the last non-maximized window that was open when you last closed IE. Yeah, this is confusing. So, do this:
Close all IE windows except one.
Make this window not maximized.
Size it like you like it.
Close IE.Re-open IE. Maximize