  When electric conductors differ from their mirror image, unusual chiral
transport coefficients appear that are forbidden in achiral metals, such as a
non-linear electric response known as electronic magneto-chiral anisotropy
(eMChA). While chiral transport signatures are by symmetry allowed in many
conductors without a center of inversion, it reaches appreciable levels only in
rare cases when an exceptionally strong chiral coupling to the itinerant
electrons is present. So far, observations of chiral transport have been
limited to materials in which the atomic positions strongly break mirror
symmetries. Here, we report chiral transport in the centro-symmetric layered
Kagome metal CsV$_3$Sb$_5$, observed via second harmonic generation under
in-plane magnetic field. The eMChA signal becomes significant only at
temperatures below $T'\sim$ 35 K, deep within the charge-ordered state of
CsV$_3$Sb$_5$ ($T_{\mathrm{CDW}}\sim$ 94 K). This temperature dependence
reveals a direct correspondence between electronic chirality, unidirectional
charge order, and spontaneous time-reversal-symmetry breaking due to putative
orbital loop currents. We show that the chirality is set by the out-of-plane
field component and that a transition from left- to right-handed transport can
be induced by changing the field sign. CsV$_3$Sb$_5$ is the first material in
which strong chiral transport can be controlled and switched by small
magnetic-field changes, in stark contrast to structurally chiral materials -- a
prerequisite for their applications in chiral electronics.
