Officially 'no' but (as a prison officer who worked at HMP Chelmsford once told me) prisoners listen to local radio and read local newspapers, so they often know about the background of new inmates before they arrive. Further, some prisoners are happy to brag about why they're in jail (particularly if it's for a 'high status' crime, such as attacking a copper).
Prisoners who are likely to be assaulted by other prisoners such as ex-coppers, sex offenders and (again, according to that prison officer I once spoke to) handbag snatchers would be likely to ask to be placed on a segregated wing as soon as they arrived.