Good question. Short answer is yes, you can apply to college with your senior year SAT score. In order to do this though, you need to ensure that you receive your SAT score before the college application is due. All colleges have application due dates and these are non-negotiable. If you take an SAT in November and the college application is due December, you likely will not have enough time to include that score on your application. I am not sure how quick your SAT scores are returned to you so that is definitely something you need to be aware about. So long as your SAT scores are in before the application due date, you should be able to include the score and submit your application.
I hope this helps and I wish you the best of luck in your college application process!!