Can I use the home button on my iphone 5 to turn it back on?

Hi, the top bottom on my iphone 5 is broken so I wanted to know, will I be able use the home button to turn my iPod back on if the battery died and I recharge it?

If the Battery Dies and you recharge it, it should turn itself back on, the only thing you can't do is turn it off. If you wish to lock it, you can get Assistive Touch by going into Setting > General > Accessability > Assistive Touch and Turn it On. Though there will be a somewhat small box on your screen.