Hi,
-No, the sentence "I needed more time to study in fact I was willing to sacrifice sleep" is punctuated "incorrectly."
The correct spelling is, "I needed more time to study; in fact, I was willing to sacrifice sleep."
Therefore, the correct answer should be "No," the sentence is punctuated "incorrectly."
Let me know if my answer is wrong or not what you were looking for because I would like to help all I can.
If you have any questions let me know and I may be able to help.
I hope that my answer helped you out. :)