No. The TPMS receiver is set to receive only 4 channels. There's an option in Forscan to set it to receive 6 channels (fur duallies), but even if you set it to 6, the dash display will only show the 4 mounted tires. And it may give an error if it doesn't get a 6th signal.
FWIW, I just rotated my spare in a few weeks ago. Haven't put a lot of miles on it, but haven't noticed any balance issues, either. Next time I'm out I'll try to get up to 65-75 and see how it does. Think I've been up to fwy speed since the rotation, but can't swear to it. Don't recall if I saw balance weights on it or not. Les Schwab may have balanced it for me though, they seem to treat me pretty good. Even though I had the spare in the back of the bed for them, they re-mounted the rotated-out tire back on the under-bed hangar for me.