Bevel question: it is possible to bevel in different directions? Here is a cube with the edge beveled and behind that is a normal cube to better explain.

1
 

My question is: is there a way to bevel an edge so that is not uniform as in picture 1?

In picture 2 I created the bevel I want, but I had to use a loop cut which is not what I'm looking for. 

2
 

Thanks.
..Expanding on @francois gibon's answer..


in Vertex Mode on the corner-vertex, AltD duplicate it, dragging slightly in the direction of interest, and right-clicking to cancel the move. (Don't deselect)
GG slide the duplicate vertex along the edge to the point you want the bevel to stop. 
Repeat for the other direction(s)
CtrlShiftB bevel the corner with 'Width Type: Percent', to 100%. If the bevel tool is already set up from previous use, that's just dragging the bevel as far as it will go.
With all vertices selected, AltM merge > 'By
Distance', to tidy away the duplicates.