Is a stress fracture the same thing as a compression fracture in your bone?

Not necessarily: Compression fractures of the spine are just that-squished bone. They can be due to excessive compressive force, e.g. Fall from a height; commonly seen in osteoporosis (weak, brittle bone). With osteoporosis can be thought of as an insufficiency fracture, with less force needed. Stress fractures don't have to occur in the spine, often don't-occur in foot, shin, pelvis. Not always w/osteoporosis.

No: Think of a stress fracture as a piece of plastic being bent until it forms a white line of "microfractures" and eventually breaks- fatigue failure. Whereas a compression fracture is from too much weight suddenly applied to a bone- like dropping a bowling ball on a tile.