It might or might not be depending on the situation. Some of it might come down to intent.
Like if the drawing was meant to be an artistic rendering with independent artistic value, much more likely to be fair use. If the drawing was meant to be a loop-hole to avoid paying the licensing fee on the original, its much less likely. Fair use has a bunch of criteria - a lot of it depends on intention and how the usage would affect the original copyright holder.
I would add that fair use lets you use a copyrighted work, it doesn't make the copyright go away, just adds some cases where you can use the work notwithstanding the original copyright, but the original copyright is still there.
Note: IANAL, this all could be wrong. I dont have any cases, i do know that people propose this sort of thing at wikipedia from time to time - i.e. hiring someone to draw copyrighted photos - and it usually gets shot down as not solving the problem, although im not familiar with the legal basis.