No. As long as the test is included in the approved list and you have a grade of B1 and above in speaking and listening, then it will be accepted even if it's expired.
I applied for my ILR on January this year with and expired IELTS (taken on 2011) and they accepted it.
If you are still in doubt, I advise you to write a letter to UKVI for confirmation (you can do it via your MP for faster processing, possibly) about the issue. I did just that and I have a letter of proof of them telling me what I just told you. It can be a helpful piece of paper.![]()