If there are any physicists out there, let's here from them!
I’m no physicist, but I can offer some background that’s applicable. Stephen Baxter’s sci-fi novel
Ark features a space ship with an
Alcubierre drive, allowing a form of "apparent" or "effective"
FTL travel comparable to the ‘spaceship in a bubble’ propulsion mentioned by joemikeb. This kind of ‘warp’ drive is not excluded by general relativity, although ‘its physical plausibility is uncertain’.
Apart from that, you somewhat loosely mention the ‘material object’ that’s subject to the light speed limit. However, ’qualifying’ objects have to have a ‘rest mass’, allowing a theoretical way out of the limit. But yes, theoretical doesn’t necessarily imply practical or even possible.