No there are no direct requirement of drawing skills except Architecture in entrance examination. Most of the entrance needs no paper for drawing in order to give admission to civil engineering.

Now in the field of study Civil Engineering, Architecture and Mechanical Engineering seeks a good drawing skills. Although this skills are not that kind of drawing but yeah! you will need to draw designs in this field. Although nowadays most of the professional works are done by using software like 3D Max, Autocad etc. So yeah! in college you will need more drawing skills for this three subjects only and there can be drawings in Electrical Engineering but those are not of major concern compared to these three fields.

I hope this answer helps. All the very best for your future endeavors!