No. Even if funds are rolled over from a previous plan year, a participant can still elect up to the maximum FSA contribution amount allowed under their plan.
For instance, if a participant rolls over $570 from the 2021 plan year, and their employer allows them to make a $2,850 FSA contribution for the 2022 plan year, they can still elect the full $2,850 and roll over $570 from the prior year.