Doctor says i have a calf muscle tear. could that cause foot to have a pulse/vibrations feeling? and soreness in all of calf?

Yes: It can cause all of those issues. It will take about 4-6 weeks to heal.

Yes: Energy to cause a muscle tear would have the ability to cause injury to the surrounding nerves and blood vessels. The muscles in the lower leg are long and any tear to a calf muscle could hurt through to the lower leg. Depending on what and how large the tear, your age and health will effect the best option for you. Your podiatrist or orthopedist will be able to advertise you.