reaction kinetcs is in essence how fast a reaction can go.
what therefore kinetically inhibited means is that the intrinsic reaction rate is very slow, so that all other processes that can influence the reaction rate (mass transfer for example) are fast enough to not negatively impact the reaction rate.
as for what it can cause a reaction to be kinetically limited... low temperature, low pressure etc., or just simply that the reactants themselves do not want to react with one another.
In water electrolysis water (the reactant) is SO abundant, that mass transport limitations are negligible and thus the reaction (if it goes) is controlled purely by kinetics.