No, don't need to do this at all with a genny. One of the great things about this type of RBA is how long mesh wicks will last before needing to be redone (I've heard a month, but I haven't been using gennies long enough to know whether this is true).
If i'm changing flavours that don't mix well, I take a syringe full of water and clean out the tank. I empty as much water as possible through the fill hole, then dry burn the coil until the remaining water evaporates.
Welcome to the forum btw.
-- Glenn