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No, not possible during simulation. Before simulation, you may reduce the number of channels, increase the integration step, reduce number of models, etc. All those steps may lower the confidence on the simulation's results.

Processing speed between two time intervals is faster before time(fault) simply because nothing should change in the system so the simulation equations (dynamic models) resolve faster and then it would take longer depending on the amount of dynamic activities (load model forces a change in P & Q consumption, protection relay triggers something else to trip, which causes other model to react to it. Some models contain internal loops that might take more time to converged given the network conditions) that the fault induces into the simulation process.