You can, using a variable section sweep.
Create a curve to represent the vector you want to extrude. A curve throuh 2 points or a sketched datum curve, for example.
Start the variable section sweep tool, and select the curve for the trajectory.
Select the "References" tab and under "Section Plane Control" select "Constant Normal Direction", and then select the plane to which you want the section to be normal to.
You can then create the sketch from within the Variable Section Sweep tool. By default it creates a surface feature so switch it to solid if you need to.
Hope it helps