Yes. Not every meniscus tear requires surgery. Some meniscus tears if they are in the "red zone"area where they get blood supply may heal. Others that are in the "white zone" that do not have a good blood supply may not heal. Physical therapy can strengthen the muscles supporting the knee and will often help. Your doctor can help you decide on conservative versus surgical treatment.
Meniscus tear. Probably not as meniscal tears tend not to heal. You should consult with an orthopedic surgeon concerning proper treatment and care.