The officer was apparently making an official record of his discussion with you, that your absences were raising a question as to whether you were in fact maintaining your permanent resident status, and that you could voluntarily abandon that status by filing an I-407.
If the USCIS decides that you were not maintaining lawful permanent resident status, then yes.
Review this official guide.
It's unlikely, but for specific advice you need to consult an immigration lawyer.
You can check to see if the
USCIS or
Customs and Border Patrol maintain the records you want, and if they will provide you with the details of your travel.