Mamun Rashid, from East London, was arrested on Thursday.
The teenager and her mother were both attacked during the "terrifying ordeal".
Sir Michael Caine once said he could think of "no other photographer who has contributed so much to our heritage.”
A 44-year-old man has been detained by police.
Serious questions have been raised about the safety of the building in the aftermath of the fire, with comparisons made to the Grenfell Tower disaster.