Yes if you create directories on the host server which replicate the folders on your computer.
So where you have a root directory on the server, create within that a main directory called say mywebsite and that should correspond with your main folder for your website on your PC called mywebsite, then you might have a sub-directory for images on the server and a sub-folder called images on your PC.
Then relative links in your code like img src="images/image22.jpg" will work after uploading via ftp.
Code downloaded to my PC will be deleted in due course.
WIN7; IE9, Firefox, Opera, Chrome and Safari for Windows; screen resolution usually 1366*768.
Also IE6 on W98 with 800*600 and IE8 on Vista 1440*900.