Technically, yes. However, the concept of copying things in fictionalized computer worlds is often full of such issues or possible unaddressed inconsistencies. Just consider the text of your question, as an example, every time it is viewed copies are made in the process. The underlying way nearly all software functions involves redundancy, backups, and making copies at multiple levels, including copies inherent in the very process of moving "locations." Presumably, the same would be true in the world of Tron.
In a way the issue reminds me of a similar issue with transporter technology in fiction. Since if you think about the way such technology functions (whether or not the being's actually atoms are moved from A to B) a clone is made and the original is killed - i.e., it is a fax machine with a shredder on the sending side. What would Star Trek be like if they didn't vaporize the original every time? However, like Tron, if the concept and impact of these replications don't serve the story they are often sidelined and not addressed.