From a basic chemistry point of view, I would say no.

CuCl2 can react in a redox reaction forming CuCl: Cu + CuCl2 = 2 CuCl

The oxidation state +1 for Cu: Cu(I) is redoxchemically available and thermodynamically stable.

AlCl3 cannot do this reaction since the oxidation states corresponding to AlCl2 or AlCl are not available or stable, in other words, there is not thermodynamic driving force to form Al(II) or Al(I) compounds.

Thank you so much for your answer.

Though you can try Etching Al with CuCl2.