My question is simple,

Are these types of joints possible using a standard (or even non
standard) worktop jig ?

I basically have a 45 degree worktop joint in the corner where my
cooker is but the cooker needs to be recessed against the wall and not
inline with the rest of the kitche units.

So the worktop needs to be 135 degrees to the first peice, then the
peice over the cooker needs to be 90 degrees to that making it 45
degrees to the straight peice but slightly recessed. (and the same on
the other side)

Cheers - James