OK, please forgive me if this question has been asked dozens of times before but is it possible to WILD without the 5-6 or so hours of sleep before?

Pretty much every guide i have ever read suggests sleeping prior to the attempt. I understand why this is due to cycles and awareness, but i can very, very rarely get back to sleep after awakening, even if i have only been sleeping for 3 or so hours. So not only does this ruin my chances of LDing, it also ruins the rest of my wakening day. I think when i first starting with my dreaming exploration i managed it a few times after waking from a normal dream several times a night, but alot of the times i was either too excited to try WBTB, WILD, dream entry etc or too frigging tired and fell back to normal dreams.

However, the closest i ever came to wild was when i was woken up early in the morning by another in my house and accidentally entered SP (i panicked because i didn't expect it) but my only two other LDs (yes two ) happened without waking. However, i have recently had some very strong hypnagogic imagery when i am very very tired (which i am every night) that created full engrossing scenes that took me by surprise. In my recent "on purpose" attemts i am getting some pretty decent shapes and bodily sensations. I think where i am every night, due to lack of sleep the night before, is the prefect conditions. Tired enough but mind can still stay active (mostly TOO active).

Sorry for the essay, i just like to illustrate my circumstances as detailed as possible.

Basically, i could sleep if i wanted to but i have enough alertness to keep my mind up for hours if i want - are these good conditions to have? Or my lack of prior sleep the main reason im not breaking through on WILD?