No...it's off. So you are safe. Logmein works via HTTPS (Port 443) which means all communication is encrypted anyway. Use strong passwords, by which I mean a password that includes numbers and letters and not a word you will find in a dictionary for you Logmein passwords and you should be quite safe.
Yes there is a risk, but you can do things to mitigate that risk, and the benefit outweighs the risk.