I'm surprised this hasn't come up at an earlier stage!
No personal experience of piling but if you're only 4m away then I think it's likely the party wall 6m rule @SteamyTea linked will apply as you'll presumably be piling quite a lot deeper than the bottom of their foundations.
In your case say they've a 1m strip foundation and you're piling deeper than 5m then PWA will apply.
Bear in mind that you, not the piling company, will be liable to your neighbour for any damage to next door when taking the pilers advice.
Have you already spoken to the neighbour at all about your piling?