Yes, The Martyrdom of Polycarp records the following event (occurring circa AD 155):
And as the flame blazed forth in great fury, we, to whom it was given
to witness it, beheld a great miracle, and have been preserved that we
might report to others what then took place. For the fire, shaping
itself into the form of an arch, like the sail of a ship when ...
Is there any historical evidence of the gifts of healing in operation by the second Century?
It's in Acts 3.
3 Now Peter and John went up together to the temple at the hour of prayer, the ninth hour. 2 And a certain man lame from his mother’s womb was carried, whom they laid daily at the gate of the temple which is called Beautiful, to ask alms from those ...