Not unless you re-subscribe to PlayStation Plus no, however epending on how long ago it was that your PS Plus Subscription lapsed, there is a chance that if you were to re-subscribe your saved data could still be there, I have heard of others letting their Subscriptions lapse but only to see their saved data still intact 2/3 months later afer re-subscibing.
I suppose it may depend how much you want your Max Payne 3 save data back, is it worth $17.99 to find out?
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