As I understand it, meat used by local public contracts (schools, hospital, hostel, care homes etc) is almost certainly all or virtually all imported.
The problem is that these contracts tend to be very specific (read cheap cuts - mince, stew etc) in what they want, and its not cost effective due to the relatively low volume concerned for the slaughterhouse to install a processing line to cater to them, and its not practical for the local meat wholesaler to source meat in whole, half or quarter carcass amounts such as the slaughterhouse can viably supply, due to him not having a market for the volume of more expensive cuts he'd have on his hands as a result of supplying the public contracts with predominantly cheaper cuts only. So it only works for him to ship in the amounts he needs from a larger slaughterhouse/processor who can cope with it by being large enough to absorb it on account of the greater volume/diversity of customer base they're catering to.
Were the local slaughterhouse able to secure a contract with one or both local supermarkets it might well have made things very different, but the last I heard of them attempting this with Tesco, the T&C's Tesco insisted were complied with concerning processing, packaging, labelling etc were such that to comply they'd never have made money on the investment required. I really cannot understand why Tesco are/were so damn fussy, as their meat is the biggest pile of crap going despite it all.
So, while local public contracts may well be serving up beef and lamd that was locally born and reared, if they are it will almost certainly have been shipped south and then back again, even if for nothing else than to be slaughtered and processed.
Fish, I don't know, but given the nature of it and the volume of supply of virtually all commercial species, I would hope that at least a local supplier would be providing locally caught and locally processed fish, BUT, where Govt. red tape and civil servants dictate, absolutely nothing would surprise me.