The question is really hypothetical because any two electrons will repulse each other due to their identical charges. But let’s consider they will not feel the Coulomb force.
Your stated principle
No 2 fermions (electrons) can occupy the the same position in space and time simultaneously.
does not make sense. Where one electron is a second can’t be. But let’s consider that the two electrons are near to each other (not feeling the Coulomb force). Furthermore Pauli’s exclusive principle states
The Pauli exclusion principle is the quantum mechanical principle which states that two or more identical fermions (particles with half-integer spin) cannot occupy the same quantum state within a quantum system simultaneously. (Wikipedia, bolt letters by me).
Electrons have two fields, an electric field and a magnetic dipole moment. In the quantum system of an atom the electric field is neutralised by the nucleus and the magnetic dipole moments are prevailing. That any two of the electron’s arranging each over as a pair of interacting magnets is not a surprise (in our modern days). Abstracting that your electrons do not feel Coulomb force, they also will align each other with north to south poles.
I state the above because the electrons are not bound to any atoms. The 2 electrons also have different spins.
Two electrons without any interaction do not have spins in any relation to each other. The spins will be oriented in random direction(s) in space. During the approach of your electric neutral electrons of course the dipole magnetic moments orient each other and the spins are anti-aligned at the end.