Short answer, yes.
If you're spending 13K on a high end kitchen I expect you may be able to haggle a discount of anywhere from 0 to 3,500. If you have told them your budget then the quote may come in just under the top end. (This may be because they have reduced a higher price to your top end but that seems unlikely)
One thing you could try is this... when given the quote... seem dissapointed, say "we'd love the kitchen but it's a few thousand more than we have, (or we need some money for tiles, appliances whatever, do this if they know the budget)... ok so kitchen is a few thousand too much, ask can the design be changed slightly to get a lower price... this then lets them change some small things and drop the price without looking bad.. i.e if they instantly drop from 13K to 9K with no changes it seems as if the 13K was way overpriced).
In any event I think they will have quoted a bit more than they need to, they would usually be able to drop the price a small amount.
Magnet Kitchens in Dublin are having a 50% off sale, they do fairly high end kitchens so it might be worth mentioning that Magnet have quoted 7,000 for a 14,000 kitchen because of the sale, that should waken them up a bit!
A larger company may be in more of a position to drop the price than a skilled cabinet maker (and one or two helpers) who may be giving his best price from the get-go.