Can I reinstall windows 7 on a new hard drive with only the product key off the back of the laptop?

My hard drive crashed suddenly it is toast. I bought a new solid state but the product key on the back from the windows website tells me to go to the Toshiba website and I found nothing helpful there. I had upgraded to windows 10 long ago before the hard drive crash.
Toshiba Satellite L755-S5365