CAT - or cycle adjustment technique works on something similar. But that assumes, that your patterns is at least a bit stable.

Let's say you sleep for one week till 5am. Next week you sleep till 7 am. Since your body is used and expected to be awake after 5 am, all sleep you do after 5am will give you better chance at becoming lucid.

I'm not sure though how long you need to keep one schedule for it to be effective.

But as it was said above, you can DILD and WILD without regard of when you sleep. As long as you get enough sleep. But you can have lucids even after shorter sleep, it's just bit easier if you sleep longer. Good luck