Yes, there are several limitations. For one, operating at high pressure requires specialized equipment that can withstand such conditions, which can be both costly and complex. Additionally, extremely high pressures can sometimes lead to the deactivation of the catalyst, either through sintering, where particles agglomerate and lose surface area, or through poisoning, where impurities in the reactants bind to the active sites of the catalyst. Therefore, an optimal pressure must be determined for each specific catalytic reaction.