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Not really, a rune smith could scribe runes in a blade and then that blade could be used later, or a transfigurationist with conjunction of another magic could make an enchanted sword; however its unlikely to see a mage with a blade in their hand while spewing flames.
Some magics like paladinism and druidism don't even deteriorate your muscles. The tradeoff is they **** with your brain, but you can still use weapons.