There is a chance it might cause a minor delay during your SSC CHSL document verification, but it likely won't be a major issue.

The purpose of document verification is to ensure the information you provided during application matches your original documents. As long as your full name (including first, middle, and last name) matches exactly with your documents, the order shouldn't be a significant problem.

Get a simple affidavit sworn before a notary public stating the minor discrepancy in the order of your name on the application form and your original documents. This will clarify any confusion and demonstrate your honesty. When you present your documents for verification, politely mention the mistake and explain that you have an affidavit for clarification.

https://competition.careers360.com/download/ebooks/ssc-chsl-exam-guide

I hope it helps!