I remember that scene - it was
Lightoller, once again being made into an a-hole.
As for your question, I would imagine yes for purses and small such things, but a brief case and something larger I wouldn't bet on. It would likely depend on the officer loading the boat, how far along the sinking was and how much room was available, etc.
I know an officer was unwilling to allow a women to keep her large dog. Whether she was finally allowed or not I do not recall, but if they were unwilling to allow living animals, I doubt something like a suitcase would be acceptable.
I do know, however, that Edith Rosenbaum retrieved a prized stuffed pig which played music, so obviously some personal items were allowed. Again, I imagine it depended on size, time, officer and boat.
Not much, but I hope it helps!