While it is possible, it may throw up a red flag if you do so.
I have done this. I was deep in a tourney a few months ago on my desktop. Nearing the end, my power went off. It came on breifly, but since the storm that made it happen was getting worse, I logged off FTP. Since I as sitting good in chips and felt like I had a good chance to cash deep, I wasn't about to just let myself blind out. I took out my laptop, which had a good battery (enough to finish the tourney) and logged in. Before I continued playing though, I shipped an email to FTP Support to let them know my situation. I didn't want them to think thee were any shenanigans going on. I finished the tournry soon afterwards (just missed the FT), and logged out.
Two days later I recieved an email back from support, thanking me for informing them of the situation. The told me that since my local IP address was the same, and my play remained consistant, that all was good.
Had I not sent that email, apparently I would have been stripped of my winnings and had my account suspended pending review.