Answer
No. Saturated compound means every C atom is bonded with 4 atoms which means there will be no double bond (or triple bond) present in that compound. An aromatic compound cannot be a saturated compound because one of the conditions to be an aromatic compound is that the compound has to be planar i.e. every C atom has to be $sp^{2}$ hybridized which means the C atom should be bonded with 3 $\sigma$ bonds. It is possible only if C-C double bond is formed. Another criteria to be an aromatic compound is that there should be delocalization the $\pi$ electrons (resonance) present in the compound which is possible when the compound has $\pi$ bonds in it.
Work Step by Step
An aromatic compound cannot be a saturated compound because one of the conditions to be an aromatic compound is that the compound has to be planar i.e. every C atom has to be $sp^{2}$ hybridized which means the C atom should be bonded with 3 $\sigma$ bonds. It is possible only if C-C double bond is formed. Another criteria to be an aromatic compound is that there should be delocalization the $\pi$ electrons (resonance) present in the compound which is possible when the compound has $\pi$ bonds in it.
