Before today's quote, the script indicates:
Suddenly, David rushes down the stairs, Victoria chasing after him. David's SHOUTING, clearly upset with Barnabas.However, just like how Elizabeth and Roger don't come down stairs to meet Barnabas, David doesn't come down any stairs either. He simply runs into the room.
And as for the quote itself -
Page 34 - David: 'No! Stay away from there!'
- what actually happens in the pilot is we hear David screaming "I gotta go! No! No! No, no!" as he comes running in.
And from this point on the scene has much in common with the way things play out when Barnabas introduces himself in the '91 DS. Though there is one major and quite significant difference. But more on that once it comes up...