Yes, there is.
e.g. means "for example": out of many possibilities just one or a few are named.
"Many kinds of fruit have pips, e.g. raspberries and grapes." (I could name a lot more, but give only two examples.)
i.e. means "that is", and exactly that.
"All of their animals, i.e. the cat and the 2 canaries, are ill." (They only have those 3 animals, so "all of their animals" = 1 cat, 2 canaries)