First of all this is not NPriitng related question!
regarding your question: no, logs do not contain this information.
License lease info is stored in PGO files and can be previewed in QMC as well under User section.
Have a read here:
cheers Lech, When applicable please mark the correct/appropriate replies as "solution" (you can mark up to 3 "solutions". Please LIKE threads if the provided solution is helpful to the problem.