The difference is that the focus of Biomimicry is to understand and emulate nature's processes or systems (e.g. designing a building that regulates temperature naturally), whereas Bionic architecture replicates the form and structure of natural elements or organisms (e.g. designing a building with a shell-like structure for a better and efficient strength).
While both biomimicry and bionics are inspired by nature, biomimicry emphasizes sustainable design by emulating nature’s strategies, and bionics focuses on replicating biological functions to enhance technology, particularly in the field of medicine and robotics.