No, the law clearly says that you can never overtake a vehicle on the right - and it applies to cyclist the same as to everyone else, even if the vehicle wasn't turning right it's illegal for the cyclist to overtake it on the wrong side.
Do I misunderstand your traffic laws (taken from https://www.retsinformation.dk/forms/r0710.aspx?id=158005) pt. 21 about overtaking, which says "... Cyklist og fører af lille knallert kan overhale køretøjer af andre arter til højre." which seems to translate that it does not apply to cyclists and they can overtake on the right?
And 26.6 "...Ved svingning til højre må den kørende ikke være til ulempe for cyklister og knallertkørere, der kører lige ud. ..." saying that vehicles turning right must yield to cyclists going straight?
Yes, the car must yield, which is why the best approach is to wait for a gap in the flow of cyclists, and then go all the way to the curb, leaving no gap.
Of course, bicyclists will just jump the curb, ride on the sidewalk or overtake on the left, because everyone wants to be in front.
