I think you could start another swap. I don't think there is any rule against it. However, many of us got burnt on the previous swaps. I have three swaps that I never received and got nothing in the Christmas swap either.
The Christmas swap is one of the three I received nothing on also. I've sent messages to Bleenstar, and he said he would make it right, but still nothing.
Why do you want to start another swap, when so many have been burned before??. I have read many of the same kind of post before, is it that only a few benefit and the rest suffer. I am sorry but I don't understand, please explain if you would be so kind.
Unfortunately, it's one of those "a few bad apples" situations. Most of the folks on this board are fantastic, honest people and if they say they will send something, they do. There are a few, though, that ruin it for everyone else by not sending items.