Hi. I understand that you are looking for Paratext to be able to tell you what time the translation team started or stopped working.
I don't think we have any option in Paratext that can tell you if there was a send/receive.
Also, the date and time that you can see when you see a change in the text (like what you see when you click on the blue letters in a book) shows you the time that edit was made, not the s/r.
But even if there were that option, it seems to me that it would not be entirely useful to you. Because the first or last edit in Paratext does not necessarily mean that the work was started/finished at that time. For example, the team may start the day talking about a pending biblical term but not edit anything until 1 hour later.
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In registry.paratext you could see the last time someone has used the program, if you have the necessary accesses. But again, checking that every day would not be automatic, nor a guarantee of when the work day started.
Saludos,
Pepe.