Does the phrase: "The mind undoubtedly does not deem this impossible" mean the possibility or impossibility of something happening?

The meaning of the phrase "possible intellectually" refers to the possibility of something from an intellectual standpoint. This does not preclude it from being religiously impossible or from not occurring in reality. An example of this is the intellectual possibility of a messenger existing in our time, but it is religiously impossible due to the seal of prophethood.