No, it is impossible to have such mixed values.
Mostly low to medium tier units have such mixed weapons. E.g peasants, or Men at arms.
The Weapons also vary from faction to faction. Northern peasants will have less pitchforks than southern ones, for example. (Because there is less suitable farmland in the north.) There are all kinds of weapons, rusted and new swords, axes, pitchorks, hammers, clubs etc. (Some of them were tools they used at home, others they looted from the dead.)
I think it`s good to post a screen of the ironborn peasants, created by damphair, in order to illustrate the variation: