A system for coding and decoding genetic information is essential to every organism. For an organism to survive or to reproduce, its genomic DNA must be replicated, and genes encoded in its genome must be transcribed and translated. The idea of abiogenesis holds that life must have come from non-life spontaneously. First the basic building blocks of life, including amino acids, ribose-based sugars, and nucleotides, or something similar, must have appeared. These monomers must then have self-linked to form polymers, including DNA, RNA, and proteins, or something similar. The resultant polymers then functioned as a genetic information coding and decoding system. In this essay, I argue that the required automatic self-linking of monomers for abiogenesis is incompatible with the genetic information coding and decoding system that is necessary for life.