We're scheduled on the Eurostar from Paris arriving at St Pancras at 1039 on 4 July. I realize that King's Cross is connected to St Pancras station. Do we have enough time to catch a 1121 train to York? My understanding is that all of the customs, etc. is done at Gare du Nord; is this correct? Would we be able to just debark at St Pancras and walk directly to King's Cross?