Crucifixion in Ancient Egypt?

According to quran, one of Yusuf's prison buddies was to be crucified. But where did this idea come from?

S 12:41 My two prison companions, as for one of you, he will give his lord wine to drink; and as for the other, he will be crucified and the bird will eat from his head. The matter about which you enquire has been decided.

In the Vulgate in Genesis 40:19 we read:

post quos auferet Pharao caput tuum ac suspendet te in cruce et lacerabunt volucres carnes tuas

After which Pharao will take thy head from thee, and hang thee on a cross, and the birds shall tear thy flesh.

And in 41:13 we read:

audivimus quicquid postea rei probavit eventus ego enim redditus sum officio meo et ille suspensus est in cruce

And we heard what afterwards the event of the thing proved to be so. For I was restored to my office: and he was hanged upon a gibbet [cross].

Vulgate Latin Bible With English Translation

Might the Latin Vulgate, or part thereof, have been translated into Arabic and the author of quran, the Ear, heard something about the story of Joseph with a mention of a cross, and had a 'revelation' which included one?

Further reading:

Did the Egyptians Use Crucifixion?

Crucifixion in the Quran