Have you tried using this:
<%# GetFileUrl("ImageField") %/>
This will return relative path of the image in given field. So, you will need toadd just the domain name and compose the IMG tag source parameter like http://domainoftheothersite.com + <%# GetFileUrl("ImageField") %>:
<img src="http://domainoftheothersite.com/<%# GetFileUrl("ImageField") %>" />