Is it possible to create an environment in which a black hole can be created?
It is unlikely that we can create an environment capable of producing a black hole.
We have never actually seen a black hole. Their existence was predicted by General Relativity. Objects have been detected which are so small and dense that they can only be black holes.
The process though to produce most black holes is the collapse of a large star. This requires a neutron star with a mass of over 3 time the mass of the Sun. Theoretically such a neutron star has to collapse under gravity into a black hole.
Alternatively we would need to be able to compress material to its Schwarzschild radius. Only gravity is known to be able to achieve this.
So, to create a black hole would require collecting several solar masses worth of material into a small space. As the Sun contains over 98% of the mass of the solar system, it would require mass from elsewhere. We don't yet have the technology to do this.
There have been concerns that the Large Hadron Collider at CERN could produce microscopic black holes. This is unlikely and hasn't been observed.