Bad starter cause my bad to need replaced?

Honda told me my bad starter caused my battery to get to hot and now I need to replace it also It tested above 50 percent life a few months ago. Is it possible for my bad starter to cause this

That's a new one on me. You can buy a battery tester for little money. See link for a UK one. They will be just as cheap in the US.

Sure. Too much current draw can overheat the battery and warp a plate. Whatever it tested a few months ago is irrelevant.

A starter will burn out if you keep starting the car with a low charged battery. A battery will go bad if an alternator puts out too much power. A starter won't make a battery get too hot and burn the starter out. How the hell do you teat a battery to see how old it is or how long it will "live"? You test a battery to see if it can put out enough amperage to start a car motor. It's called a battery load test. Either you don't listen well, you've got a bozo Service Writer, or you're at Jiffy Lube and not a Honda Dealer!