Perhaps with the hardware...
but if the tapes have degraded from inadequate storage (as the GAO report claimed) and age, having the hardware might not be enough. Also, if they can't decommutate the telemetry stream because they lack the schema, it'll just be a bunch of bits lacking any meaning. Perhaps with a lot of work, someone could figure out the schema but that would be expensive if you had to pay for it. It'd make a great volunteer effort, perhaps by computer science students and professionals like the effort that went into the creation of Linux.