Clearly yes. If your body is destroyed, I will stop experiencing your thoughts and your senses, and vice versa.
> You anyway go to sleep each night and awaken after a discontinuity. Why would this be significantly different?
I'm more interested in why it would be the same. As it stands, there is no account of what is the thing that persists through deep sleep, or more broadly, of why there is sentience to begin with. I'm perfectly ok with conjecturing that sentience is not physical, given that we can't observe it, like we can with the physical. And I don't expect we will find some physics redefining discovery in the brain that will allow us to see us. Some philosophers hold that the more interesting question is why do neuroscientific accounts of the brain seem insufficient to us, but at that point the jig's up, you're doing philosophy and not science. Which is the problem of mind uploading, there's no scientific surety to it, believing in it will be conditional on not thinking too much about it, or on taking the position that "the philosophy is settled!".