Well, yes or no.
That's the same particle as "also", but if used in "...te/de mo ii" pattern, it means "It is ok to..../with....". It implies that it's ok but not the first choice(compromise) or it's ok if you want(permission).
"Kyou no bangohan wa tempra demo ii desu ka?"
"Iidesu. Demo, udon no hoo ga sukidesu."
(Is it ok for you to have tempra for today's dinner?--Yes, but I prefer udon better. )