Is there a way for me to treat my sciatica at home?

Sure. Look for a physical therapist experienced with this to teach a home exercise regimen. Consider googling mckenzie physical therapy.
Core Exercises. Typically core strengthening exercises are the best to help relieve pressure and forces in the spine. I would try and google some or look them up on youtube to see descriptions. If you can do them yourself, wonderful otherwise ask your doctor to get a referral to a good physical therapist for further assistance.
Yes. There are many exercises for sciatica. See if your md will prescribe some physical therapy and ask for a home exercise program. You can also search the internet using the term "core exercises".