No, and it's the most common land-buying myth around. The five-acre number is real, but it only controls subdivision review. Rule 0400-48-01-.02 leaves divisions where every tract is five acres or more out of the definition of a subdivision, and TDEC's service guidance repeats that. It says nothing about whether the soil works.
Five acres can be mostly shallow rock, a wet bottom, steep hillside, or sinkhole drainage. Meanwhile, a one-acre lot with good soil in the right spot can permit easily. What counts is how much usable soil is left once the house, well, setbacks, drainfield, and backup field are all drawn in.
A proposed house on a five-acre tract still needs an acceptable soil evaluation and TDEC construction permit, plus whatever county planning, road-access, and deed rules apply.