I haven't watched the video.
No, science can't tell us right from wrong.
Because science ignores half of the universe, and thus will always lead to stupid conclusions like packing people in like sardines is good for the environment.
The word science originates from words meaning to cut apart.
Like they have separated physics from metaphysics when in reality it is one continuum.
When science (or whatever it is called in the future, after scientist realize that cutting apart disciplines was the single stupidest thing that man has ever done) starts accurately researching emotions and there effect on the person and the world around them, then they will start getting into understanding right from wrong.
i.e. A sin is something that hurts your soul
like touching a hot stove hurts your finger.
RE: Can Science Tell Us Right From Wrong?