No. Even if your child has an IEP or Section 504 plan that includes testing accommodations, she still must apply to the College Board, which administers the SAT, to get approval for an accommodation. You must submit documentation of your child’s disability and how the disability limits her ability function in the testing situation. You should submit this document in enough time to get a decision (and appeal if necessary) before the testing dates.
For specific information on the SAT process and its requirements visit: https://www.collegeboard.org/students-with-disabilities
The accommodation eligibility guidelines and application procedures for the ACT (originally the American College Test) are similar to the College Board’s. For specific information on the ACT and its requirements visit: http://www.act.org/content/act/en/products-and-services/the-act/accommodations.html