Generally yes, it is safe if you have a normal pregnancy without any complications. But since 2 months is still very early, if you have any bleeding, spotting, or history of miscarriages, you should strictly avoid it. Better to confirm once with your doctor.
When my baby was in the belly, we were so scared about this in the early months! Looking back, as long as your doctor hasn't told you to abstain due to any spotting or low placenta, it is perfectly fine. Just go gentle and don't worry.
According to all my pregnancy tracking apps, sex is completely safe in the first trimester because the baby is well-protected by the amniotic sac. Just avoid any positions that put pressure on your stomach. If you feel any cramping after, just rest.
I am also in my second month and my partner and I had the same doubt. We are super scared of doing anything that might hurt the baby. Did your gynac give you a green signal or are you waiting?
My hospital's care coordinator gave us a detailed checklist about this during our first scan. They clearly said unless there is bleeding, pain, or any specific high-risk factor mentioned by your obstetrician, intimacy is fine. Just ask your doctor in your next scan appointment to be 100% sure.