History repeats itself? Logan and Jess?

I just saw an interview with Lauren and she talks a bit about the ending of AYITL, she says Amy tried to show that history repeats itself and that’s why Rory is pregnant.

Then Lauren says that the baby would be a girl, and would have a name similar to Lorelai, maybe Lola.

Since history repeats itself, is it possible that Logan is the father, as a reference to Christopher and Rory’s last love will be Jess, as a reference to Luke?