A lot of things that we assume can only be made by giant complexes of high-tech equipment were first prototyped by hand on a workbench. This sounds like a great project.
(I don't know anything about the details of bubble memory. It's entirely possible this is impossible. Certainly worth looking into though.)
diagram by TI, it looks like the bubbles are on some iron wafer and forcibly moved around by two coils. Then, on a second substrate there are some type of read & write head.