Hello Michelle,
I'm assuming you're in the UK, and that you watched the Tony Robinson / JC documentary last night, so I'm moving this to the Titanic on TV folder where there is a thread discussing it.
Your post could actually have joined some discussion on this topic which has taken place, but I can't find it! Even the moderators get confused, you see, as this sort of question can crop up in a number of different threads. From my memory, most members here were rather doubtful about this idea. It would depend if the iceberg had a reasonably flat shelf near to sea level, wouldn't it? And it was so dark, most people could only see the lit-up Titanic, never mind row to an iceberg nobody seemed able to see after it drifted astern. Not to mention trying to get women in hobble skirts and leather-soled shoes, young children etc. onto slippery ice.... Cameron looks pretty fit to me, so perhaps he was really thinking that he could have got onto an iceberg?