That is (or used t be) a well known process in automobile body work and in some other forms of metal working. But striking metal (hot or cold) tends to expand it so it will increase the amount of curvature instead of straightening it. To shrink the metal and to reduce the curve, you heat it to near red hot and then quench it with cold water.
There is a very old shipyard worker in Japan that I have seen at work and he makes compound curves out of 6" thick steel that way for use in ships using nothing but an oxy-actelyne torch, cold water and a very big hammer and he is considered one of their living National Treasures.
I have used that technique for small repairs in automobile sheet metal and I made my own hammer by taking a good quality 12 ounce (IIRC) ball peen hammer and literally tying a 36+ inch long string to the back of it and tying the other end to the tail stock on my lathe. Then I put a sanding disk in the lathe chuck and run it at low speed while swinging the hammer back and forth with the hammer face against the sanding disk. I used 80 grit and then 200 grit and then 600 grit sand paper on the sanding disk and gradually smoothed the face of the hammer to a very smooth, convex surface with a 36 inch radius.