It's grammatical, but style guides recommend 'because of' instead of 'due to' in that grammatical pattern. Both X and Y are manipulated by Z because of their aspirations. From the viewpoint of logic it's a little hard to imagine why Z would manipulate anyone, let alone both X and Y, because of their aspirations.
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shylesh raguBoth X's and Y's aspirations allow them to be manipulated.It's OK as shown.