To my knowledge, no. There have been other ideas such as 'tired light' and such, but they never led to anything else that couldn't be more readily explained by Big Bang, and without violating experimental findings at terrestrial accelerator laboratories. The most recent 'explanation' proposes that the universe is static, and that there is a higher-dimensional 'centrifugal force' that stabilizes the universe against collapse. The redshift arises because the photons interact with this higher-dimensional force during their journey through space. There is no other prediction by this theory, and no evidence that there are 'higher-dimensional' forces at work.