Is it possible to get pregnant during perimenopause?

Yes. While it is less likely that you will become pregnant during perimenopause than earlier in life, and less likely that if you do become pregnant that the pregnancy will lead to a successful birth, it is possible to become pregnant.
Absolutely. Perimenopause there is a greater chance that ovulation will be sporadic....Sometimes coming soon after a period or delayed. In either event, with ovulation..There is always a chance for pregnancy.