I have a 2008 Ford Fusion can it still turn over with no oil in it?

Was driving the car and it shut off lights and radio wouldn't come on so I bought a new battery and it turned over and everything worked but soon shut off so my dad thought maybe it was the alternator but then we had a mechanic look at it and he said it had a blown head gasket but there's no water oil mix can someone please let me know what it could be or if you had similar problems

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