It could be done, but it requires routing a shelf at the nut and drilling 2 holes. the strings would still (most likely) go out of tune at the bridge without a locking mechanism there as well, depending on how heavily you use the trem.
"But Lord, during the hardest trials of my life, why was there only one set of footprints?"
"Because," said the Lord, ôSandpeople always ride single-file to hide their numbers."
man wat u satalking about i am shono -shonoo