Actually, Yes.
It is called an image pipe, or tube, or hose, or animated brush. (The file extension is .GIH for "Gimp Image Hose")
The easiest way (in this case) is to make each image its own layer. Set them all to visible, then save the file as whatever.gih to you brushes folder. The save options can be confusing, but there is
a good (if old) reference here. Refresh the brush list and you can use it.
If the image is colour with alpha, it will only paint in colour (like the ivy brush that comes with Gimp). If it is B&W, then it will use the foreground colour, with the greyscale level being the transparency.
If you make up such a brush please post it in the resource section!
-Rob A>