***** NOT A TEACHER *****
(1) According to most books, the answer to your question is NO.
(2) Our esteemed Mr. Swan says:
hardly ... when/before ...
scarcely ... when/before ...
no sooner ... than ...
I had no sooner closed the door than somebody knocked.
We no sooner sat down in the train than I felt sick.
No sooner had she agreed to marry him than she started to have terrible doubts.
No sooner did Steve start going out with Tracy than she fell in love with Jasper.
After quoting so extensively, I had better give full credit to:
Michael Swan, Practical English Usage ( Oxford: Oxford University Press, 1995).
P.S. The great L.G. Alexander in his wonderful Longman English
Grammar agrees that "than" is the correct word after "no sooner."
P.P.S. The scholar George O. Curme observes that some people
do incorrectly use "when."