"Picture" is a more general noun. For example, you can draw, paint, etch, engrave or create a picture. You can also take a picture, but in this example you mean "take a photo". "Picture" (or "pic") is sometimes used to mean a photograph, but don't ever assume they are interchangeable words.

No, they are not the same.

they are almost the same except you can draw a picture but you can not draw a photo.

When speaking, we often use "photo(graph)" or "pic(ture)" to refer to a picture taken by a camera. Another word I often use for a photo is "shot": "I've got some great SHOTS of you at the office party. Take a look at these!" If the photo is of just your head and shoulders, we refer to it as a "headshot."