Yeah you can do that, but if you do you've just denormalized your database and haven't really saved any coding. Once you really think about it a change like this, no matter how it's done, is going to require rewritting your retrieval, adding and editing code anyway. Your best bet is to create a link table to link the dvds to the genres. Then just do a little piece of code that will populate the dvds to genres table from the current dvds table.
Now once that's done redo edit, delete, add and retrieve. Doing it this way also gives you the added benefit of being able to keep using your current code while you write the new code even after the database mods are made.