The magnetic field can affect processes in the non-magnetic systems, including the biochemical reactions in the living cells. This phenomenon becomes possible due to the fermionic nature of an electron and significant energy gain provided by the exchange interactions. Here we report the inhibition effect of the magnetic field on the processes of the chiral supramolecular, i.e., macroscopic self-ordering in the non-magnetic model system. The observed effect is in tune with the reports on the influence of the magnetic field on the adsorption of the chiral molecules, which was explained by the effect of the chirally-induced spin-selectivity and the inhibition of the chemical reactions caused by the singlet-triplet conversion. The magneto sensitivity of the process of the chiral self-ordering directly indicates its spin-polarization nature. Tacking together all of the results in the field, we can propose that the chirality-driven exchange interactions guide the selection of the chiral molecules and explain their prevalence in the living matter. It is also probable that these forces have played a critical role in the origin of life on Earth.