Not correct at all.
You need to yield pedestrians if they have their lights. But, for safety, yield them if they don't
However, bikes can be treated as 'smaller' cars with respect to traffic rules. So, in the case being discussed here, the biker should not have been approaching the intersection at all. He should have lined up with other cars.
So, our friend here didn't have to yield to the bike. But, as a general rule, any driver should observe all traffic situations, therefore he should always check safety before making the turn.
Yes, our friend needed to do shoulder check before making the turn, trying not to kill the biker or somebody else