That's a very difficult question to answer - there are a lot of variables. If they are in a rowing boat and you are on the QE2, then - no, probably not. On the other hand if you are in a rowing boat and they are on the QE2, then, yes, there is a very good chance that they will drag you down alongside - BUT, we now get into more variables. Rope length for one. They won't drag you down if there is enough slack in their lines to allow for the increased length demanded by their decreased bouyancy. And there is more; if their decreased bouyancy is exactly equal to the slack in the lines, the coefficient of extensivity of the lines that they have used will come into play.
It's not a simple yes or no answer
On the other hand, life is a turn of the coin, my friend. Not many boats just "sink".
But some do.