Well you can...but it will be a bitch to use!
That is why Floyds got finetuners...otherwise you will have to stretch and stretch....figure out how flat or sharp it goes when you lock the clamp, and basicly needs to unlock it everytime you're out of tune.
I forgot about the fine tuners. I am stupid. I was going to sell my floyd guitar for various reasons one for money. I was just thinking of a way to keep it in tune. The nut sause does pretty good.