No. Fault has the nature of evil more than pain has because he fault itself consists in the disordered act of the will, and the pain consists in the privation of something used by the will.
God is the author of the evil of pain, but not of the evil of fault. And this is because the evil of pain takes away the creature's good, which may be either something created, as sight, destroyed by blindness, or something uncreated, as by being deprived of the vision of God, the creature forfeits its uncreated good. But the evil of fault is properly opposed to uncreated good; for it is opposed to the fulfilment of the divine will, and to divine love, whereby the divine good is loved for itself, and not only as shared by the creature. Therefore it is plain that fault has more evil in it than pain has.
Although fault results in pain, as merit in reward, yet fault is not intended on account of the pain, as merit is for the reward; but rather, on the contrary, pain is brought about so that the fault may be avoided, and thus fault is worse than pain.