Yes shoulder blade pain can be caused by sleeping in the wrong position so if you're experiencing shoulder blade pain you should try sleeping in a different position.
If sleeping in a different position cures the shoulder blade pain then sleeping in the wrong position was likely the cause of it.
Muscle strain is also another cause of shoulder blade pain so if you strain your muscles then you could have shoulder blade pain as a result.
You can get rid of shoulder blade pain by doing Yoga and other stretching techniques which can improve the blood circulation to your muscles and joints.