Step 1: The \( {S} - {S} \) bond occurs when two sulfur atoms are directly bonded to each other in a compound.
Step 2: In \( {S}_2{O}_4^{2-} \), \( {S}_2{O}_5^{2-} \), and \( {S}_2{O}_3^{2-} \), there are \( {S} - {S} \) bonds present between sulfur atoms.
Step 3: In \( {S}_2{O}_7^{2-} \), there is no direct \( {S} - {S} \) bond. The two sulfur atoms are connected through an oxygen bridge, meaning there is no direct bonding between sulfur atoms.
Thus, the correct answer is option (D).