Yes and no.
All generic materials should be BBA approved i.e. cement, lintels, roofing membrane etc.
Other generic stuff like bricks for example, need to be of a certain quality and rating for those below DPC etc, as do the blocks.
DPM polythene should be no less than 300mu (1200g).
All timber should be of the structural grades as specified.
Blah, blah, blah.
All of the above should be listed in your building notes in any case, so the builder will be aware of this when pricing.
However, other more cosmetic items such as say a staircase with balustrades, or a juliet balcony, or some oak post supports for a canopy, or specific roof tiles (i.e clay as opposed to cheaper concrete), or a particular type of window or door - all these items should be listed and described with more detail.
For example, I would say "juliet balcony to be Catnic 'Brecon' and supplied in powder coated black finish" etc.
The argument from the builders side is likely to be that if you don't supply an accurate spec' then how can he supply you with an accurate and explicit quotation.
Do you have an accurate and detailed drawing or a copy-pasted comic fit for the bin?