The outdoor London shots show the protagonist waking up 28 days later and having no idea the apocalypse had just happened: http://vimeo.com/7138423
So it in no way contradicts when you can and can't travel on account of there being zombies everywhere, he doesn't even know about them at that point.
That's some of my favourite "London" film footage. Most of the time London is shown horribly in films, just hamfistedly moving from one obviously recognisable location to another. Even the BBC do this - Spooks and Luther seem to need every outdoor scene to be set in some well-known location, which is not only distracting but a little insulting.
Saying that, because it was obviously so early in the morning for logistical reason it pulled me out of the film, even though I guess in the film's narrative of "we must travel during the day" might neccessitate a "it's morning, thus we are now travelling again" establishing shot.