You will need a SE design for this. If your preferred builder does not like the SE proposal he would need to come up with a counter proposal with reasoning, that can be put to your SE for consideration. You could get a price for both.
I think if you unscrew the white waste pipe - which you should be able to do by hand - you may be able to get to the waste from underneath. Failing that, you may need to replace the waste. Is it a clicker one?
Be very wary as width, length and depth are often confused. It is errors such as these that can lead to screwups.
For kitchens I consider length and width to be side-to-side and depth to be front-to-back. Height and thickness can also cause confusion.
With some of the induction hobs in a 600 deep worktop there is often only 50mm remaining front and back after the cutout.