No. Predestination is not anything in the predestined but only in the person who predestines because predestination is a kind of type of the ordering of some persons towards eternal salvation, existing in the divine mind.
The execution, however, of this order is in a passive way in the predestined, but actively in God.
Grace does not come into the definition of predestination, as something belonging to its essence, but inasmuch as predestination implies a relation to grace, as of cause to effect, and of act to its object. Whence it does not follow that predestination is anything temporal.