Yes, but it is fairly rare. Most kids and adults have been vaccinated against it.
That's one of the vax my son didn't get...they didn't offer it as a single vax, so we chose not to do it.
That being said, if your 2 month old shows any sign of illness and isn't eating, pooping or peeing well, then off they go to the ped.
From what I understand, many cases of german measles go unnoticed in kids. It is most dangerous to fetuses and the very infirm.