There is no age limit for studying in Germany. In fact, it is not that uncommon for students to be as old as you (or even significantly older) when starting or continuing with university. A C1 language level might often be a requirement, though.
EDIT: As the question is tagged "funding" (which I did not notice when first answering), I want to add: on the DAAD website, there is some information on requirements for scholarships. They state that in most cases, there is no age limit for scholarships either, but in some cases there is a maximum amount of time that is allowed to have passed since the last degree (e.g. maximum of 5 years after the completion of the BA at the time of application).