We study interlayer magnetic interactions between a ferrimagnetic insulator with perpendicular magnetic anisotropy  Tb₃Fe₅O₁₂ (TbIG) and an in-plane magnetized ferromagnetic conductor CoFeB. We identify a chiral interlayer coupling, enabled by symmetry breaking associated with a uniaxial in-plane anisotropy in the CoFeB layer. This coupling gives rise to a chiral exchange bias effect on both layers, tunable via their relative vector magnetization orientation. Temperature-controlled and current-induced Joule heating experiments demonstrate relaxation from a chiral-coupling unfavorable to a favored configuration, allowing external field-free and deterministic perpendicular magnetization reversal. These findings highlight insulating ferrimagnetic garnet/ferromagnet bilayers as a promising platform for chiral spintronic functionalities in memory and logic devices.