There are ways to travel distances faster than the speed of light that don't violate Einstein's observations. Space warping being only one of them.
The article also suggests, and quite rightly, that our own perception of the speed of these observed galaxies may be skewed and they are actually traveling much more slowly than we think.
This is what Star Trek had with warp drive and warp speed I think. Then in 1994 this physicist named Alcubierrecame up with a new technological idea which seemed based on the show and his idea for Alcubierre Drive --
NASA Admits Alcubierre Drive Initiative: Faster Than The Speed Of Light. It was followed by more new ideas.
"In 1994, physicist
Miguel Alcubierre formulated a theoretical solution, called the
Alcubierre drive, for faster-than-light travel which models the warp drive concept. Calculations found that such a model would require prohibitive amounts of
negative energy or mass.
[9]
In 2012, NASA researcher Harold White hypothesized that by changing the shape of the warp drive, much less
negative mass and energy could be used, though the energy required ranges from the mass of
Voyager 1 to the mass of the observable universe, or many orders of magnitude greater than anything currently possible by modern technology.
NASA engineers have begun preliminary research into such technology.
[10]
In 2018, the U.S.
Defense Intelligence Agency made public a 2010 report that surveyed multiple different approaches to faster-than-light travel. Caltech professor
Sean Carroll, who reviewed the report, explained that, while the theories were legitimate, they did not represent "something that's going to connect with engineering anytime soon, probably anytime ever."
[11]"
Warp drive - Wikipedia
If DoD is involved, then they must be getting closer to FTL travel. They're denying it which means the opposite lol. I can't believe
Frannie 
knew what he was talking about in some ways about this one, i.e. watched the show.