This, from The Space Pirates, is the only Second Doctor quote I could find about drawing, sketching and/or art in general. I leave it to you to decide whether he likes drawing pins or he likes drawing pins. Here are the second batch of annotations for the Bad Teeth Doctor Who: Draw My Life video I wrote.
The Second Doctor played by Patrick Troughton is represented here not once, but twice. One frowning at you and the other running away down a corridor. He is joined by a Quark from The Dominators and a Yeti from The Abominable Snowmen and The Web Of Fear.