There's nothing stopping you from using ranged weapons in any form when equipped with a storm shield.
In fact, you can fire a bolter or needle pistol or plasma or combi-melta or whatever, while also benefitting from 3+ invuln against shooting--- then when you charge or get charged, instantly get your melee weapon and still get 3+ invuln.
The only thing you cannot do is gain +1 attack for dual weapons, or use a parry if you aren't using a sword in the melee (such as if you use your pistol instead)
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