Is is possible to create an animatable morph between two lines? I'm trying to create a morph/blend as seen in the second image, but instead of beeing the same line from start to end I want them to be like the first image different lines A and B. The result has to be animatable so I can move a vertex of the line A or B and Blender updates the inbetween-lines during animation.

Is this possible?
You could use the Animation Nodes Addon.

Create the a shapekey, morphing from A (Basis) to B (Key 1).

The (in animation nodes) instance them with the Object instancer and vary the shapekey value in a loop. Remember to check Deep Copy, otherwise all mesh are going to have the same shapekey value.