If there's air in the cooling system yes. It also can cause the headgaskets to fail because the temperature gauge is not accurate when air is present and you overheat the motor without knowing it!

So yea my raditor hoses were swollen up like balloons and my question to everyone is could that of cause the car to run rough?

sure can, after the engine overheats lifting or cracking a head!

Could cause engine to run to hot and or if it leaks on electrical could also make engine run rough

Not directly. Indirectly, yes.

no