Can I dynamically change the filter_glob on an ImportHelper object?

As part of my addon (Stop Motion Obj), I’ve added a few panels to the file import window. My addon allows the user to import a mesh sequence of various file types. It supports .obj, .stl, and .ply. The user needs to select a single file type then navigate to the folder where the files are located.

I have an operator for importing the sequence. This operator extends the ImportHelper class. Currently, the filter_glob is set to include all file types supported by the addon. However, I’d like to dynamically change the filter_glob such that it only shows files from the currently-selected file type. Is this possible?