H2CO3 can exist only in an aqueous solution, and it is a very weak acid. One can get it by bubbling CO2 gas through water, and the final concentration of H2CO3 would be very low. I would not expect any reaction with LaFeO3 under ambient conditions. But the situation could change under supercritical ones.
I dont want to dissolve LaFeO3 with H2CO3. I did some tests in the humid (more than 90%) situation. And the material of testing is contained LaFeO3, also the CO2 gas exists in the test condition. I want to know that, according to the reaction of CO2 and H2O and preparing of H2CO3 is there any possibility for the reaction between LaFeO3 and H2CO3?
I would say, there is no possibility of such reaction under the given conditions. To the best of my knowledge, LaFeO3 synthesis is performed without protecting the reaction medium from ambient CO2: if there was any possibility for the reaction with H2CO3, an inert atmosphere would be required to avoid the formation of La carbonate or something like that.