No. Tennessee's septic rule, Chapter 0400-48-01-.07(4)(s), says the disposal field "shall not be used for vehicular traffic or vehicular parking," and that dozers, trucks, and other heavy vehicles "shall not be allowed to run over the septic tank, field lines or other parts of the system." That's the state standard for a conventional system, and it's the same advice EPA gives homeowners everywhere.
The reason is depth. The same rule puts conventional trenches 24 to 48 inches deep with only 12 to 36 inches of soil over the gravel or chambers. A car tire pushes weight down through that thin cover. It squeezes the air spaces out of the soil that's supposed to soak up and treat wastewater, and it can crack the 4-inch perforated pipe or tip the distribution box so one line gets all the flow.
Damage rarely shows the next day. What you usually see months later is a soggy strip, a bright green line, a slow drain in the lowest bathroom, or sewage smell near the field. By then the soil is compacted and the fix is often a new section of field, which needs a TDEC repair permit.