Yes. - it's called a static link. It means that all of the runtime you need is part of the image file - obviously a much bigger image file.
I can't tell which version of unix you have, but your man ld page will tell you how to do that. In most flavors of Unix you provide the cc command with a list of static libraries ".a" files including libc.a. You will also have to put your own runtime into one of these archives as well - or link against the objects in it. Again, the ld manpage is your friend.