No, the expansion of the universe does not imply that time is flowing backward. The concept of time is a fundamental aspect of our perception and understanding of the universe. While the expansion of the universe is a concept in cosmology, it is unrelated to the directionality of time.
The expansion of the universe refers to the observation that, on average, galaxies are moving away from each other as space itself stretches. This expansion is described by the theory of general relativity. However, it is important to note that the expansion is happening in the spatial dimensions, not in the temporal dimension.
Time is considered to be a one-way arrow, moving forward from the past to the present and into the future. This is a fundamental aspect of our experience and is supported by scientific observations and theories. While the expansion of the universe has implications for the evolution and age of the cosmos, it does not alter the basic nature of time as a unidirectional concept.
It's worth mentioning that our understanding of the nature of time is still an active area of research and discussion in physics and philosophy. However, within our current understanding, the expansion of the universe does not imply that time should be viewed as flowing backward.