Short answer is no. Not if built to plans.
Of course, Cessnas and Pipers don't have anything special either, but they are all-metal. The issue to be concerned with is the fiberglass-composite cabin top. Cirrus embeds an aluminum mesh onto its outer surfaces. One could do something similar.
BTW, "operating limitations" are issued by the FAA. The builder usually sets additional constraints such as gross weight, V speeds, etc. It 's my FAA operating limitations that say IFR is allowed if .....[basically, it says I need to follow the part 91 rules with regard to instruments and radios required for IFR].