Yes if you actually have income from freelance writing and report it on Schedule C. The $5000 deduction goes on Schedule C as other expenses.
Alternatively, if the course was taken at an "eligible institution", it may qualify for the Lifetime Learning Credit or the Tuition and Fees deduction.
The school should be able to tell you if it is an eligible educational institution. In general, an eligible educational institution is an accredited college, university, vocational school, or other postsecondary educational institution, including accredited, public, nonprofit, and proprietary (privately-owned, profit-making) postsecondary institutions. Additionally, in order to be an eligible educational institution, the school must be eligible to participate in a student aid program administered by the Department of Education. If they issue a 1098-T they are probably an eligible institution.
Enter your school at the link below, to see if it's on the dept. of education list.
https://fafsa.ed.gov/FAFSA/app/schoolSearch?locale=en_EN
