Higher velocity than speed of light

Not by anything with an non-zero mass, unless our understanding of the physical universe is wrong.

According to Einstein and later physicians it is impossible to reach the speed of light with a normal mass. Still we should be able to reach in the long future a speed close to the speed of light. Steve Hawkins just speeched last week on this topic that humans should colonize the universe as it is just a matter of time till an asteroid or nuclear war hits the world. Also he stated we could a velocity close to the speed of light - but never beyond ....

Does it mean a higher velocity does not exist - No - as all physics is based on what we know. Newton was not aware of relativity - so for sure Einstein (and others) are not aware of the full picture

There are three possibilities:  (1) Yes, via wormholes or changes in the physical state of this universe; (2) No, the easy one; (3) Yes, but not in

No. By the definition of the terms in your question; no.

Of course, you can talk about circumnavigating the speed of light via wormholes, or being in a zero mass spaceship, or warping spacetime, but these things are really avoiding the question rather than answering it.

The speed of light is like the horizon.  No matter how fast you drive you can't catch the horizon.