Those who want to plant strawberries and blueberries together might encounter some problems, simply because their individual needs are somewhat different. Blueberries do better in acidic soil while strawberries do better in alkaline soil. Blueberries tend to grow fairly large and need a lot of space while strawberries do not grow to a very tall height at all.
Although it might be possible to grow strawberries and blueberries together under the right circumstances, chances are it will be a fairly difficult endeavor. Those who are experienced at growing different types of fruit plants together might have an easier time doing this than amateur gardeners.