Phone makes buzzing noise and vibrates when pressing home button can it be fixed?

sounds like it may be an issue with the tactic engine. try rebooting the iphone by holding down the sleep/wake button and home button at the same time, if the issue persists set up a repair with apple here

https://support.apple.com/iphone/repair/service.

hope this helps!

what model iPhone do you have?

so sorry to hear that! we'll be safe and be sure to wash you're hands.