Hi, is it possible to hear my own heartbeat on both left and right sides of my stomach at the bottom closer to my hip bones?

Yes. Your aorta splits in that region . In thin individuals especially, it is possible to feel the vibration of your heartbeat.
Yes. If you have a stethoscope (or just put your head down there - maybe on someone else - unless you're a contortionist), you can hear the transmitted pulsation of your heart as there are some major arteries there (aorta, left and right iliac arteries).