Many do. I don't think Halifax did last time I opened another account though.If Halifax already have those details from your current I cant imagine why they would need them again. Most other banks do not request the ID etc again
Anglo also have an option whereby you can opt into allowing them to open new accounts on your behalf by email/fax/letter.Anglo Irish Bank were the same, once they had the details from my first a/c, they weren't needed again.