Yes, you'd probably get an answer, but the President would not see your letter NOR the answer. His staff would answer it and his signature would be made by an "auto pen", a device all legislative members have. It's a machine that mimics exactly the person's signature. Or a staff person authorized by the President would answer your correspondence. I know this because I worked for a Senator for many years. But please - send your letter. It's vital that we, Americans, continue to have our voices heard. Good luck!