We don't need a hyperdrive to reach the nearest systems. We could probably do it within a 100 years if we were able to maintain a 1960's Space Race level of focus on it the whole time.
I don't think you're fully aware of the distances involved here.
With today's space engines it would take ~80 000 years to reach the nearest star, Proxima centauri.
Using engines we've actually built before sure. But that's misleading because no one has attempted to actually build an interstellar ship yet. Theoretically, we already have the technology to build various nuclear designs that would be capable of accelerating a ship up to a substantial fraction of light speed. The main obstacle would be convincing humanity to sacrifice the enormous resources that would be required to build such a ship. Not to mention convincing them to allow huge quantities of nuclear fuel to be launched into space. But nonetheless these are obstacles that we could at least potentially overcome, unlike the prospect of waiting for hyperdrive which we are nowhere close to getting with current understanding.
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From his looks Magus is Macho Man Randy Savage as an anime zombie. The black wind howls, and one of you will snap into a Slim Jim ooh yeeeah! -sonicblastpunch