If you dug a pit at Stonehenge, burned your trash in the pit, and then recovered the hole without leaving any sign of the hole, sure. But you're not doing that, nor is it likely that you could pull it off. Past disturbances of the ground or stratified deposits are visible, as the filled-in ancient robber's hole leading to the door of Tut's tomb was visible to Howard Carter.
But I could eat a picnic lunch and leave the bones. Someone comes by 2000 years later, digs up the bones and says “proof! it’s 2000 years old!”.
It’s unlikely that archaeologists can sort Johnny Come Later squatters with the actual makers in many circumstances.