Absolutely not only try fall hunting but take it up.
You are not a full fledged turkey hunter until you learn to take birds in all seasons and under all legal conditions. Many spring turkey hunters I talk to don't bother fall hunting because it is too hard. In most states the success rate in the fall is between 14-20%, that is about the success rate on Mountain Goats. If you take away the fall turkeys that are killed incidental to another hunt and count only the birds killed on "purpose" the success rate on average is below 10%.
Granted these stats are not that encouraging but they should be just for the shear challenge of the pursuit. I guarantee if you start to understand fall and winter turkey flock makeup, the how and why they do things to establish pecking order; you will become a much more effective spring hunter. You'll also expand your working knowledge of turkey language 10 fold at least.
Steve Hickoff wrote an excellent book for the fall hunter - "Fall & Winter Turkey Hunter's Handbook" This book took me from killing incidental fall turkeys to regularly killing fall turkeys on purpose. After reading this book I went out called in and killed those 3 fall gobblers in my icon. In WI we can kill as many turkeys as we buy tags for, no limit until all tags are sold out.