[jonas123]

If I understood correctly there's no evidence for such a football game. In the new Doctor Who episode from today – funnily being set around this event – they show a scene in which soldiers play football together.

[wldcordeiro]

No evidence of a full game, but "kick arounds" are mentioned as having happened.

[Mountain_Skies]

Doctor Who, both by nature and by design, has always been rather loose when it comes to historical accuracy.