Again, depends on your definition of a "real god"
Zeus, to go back to the previous example, was a king of the gods, but was born and grew up. And for all his power, could not oppose what the Fates decreed. He'd even been known to lose the occasional fight against a monster.
Heck in the Iliad, the Greek hero Diomedes attacked three different gods in the same battle, wounding two of them, including the freaking GOD OF WAR Ares himself! (okay he has an assist from Athena with that one)
So there can be gods with limits.
Not just "gods" even an original primary Maker God can have limits.
For practical purposes, I simply think the "god" in mythology was no indivisible super being, but rather simply an actual, living, breathing, human being, and in a sense, no different from any other human being.
The difference was that they were just so overwhelmingly awesome as a person, people could only phrase such a person in such extremes as being like non-senorially perceptible and all that.
I think the same for all the gods in other mythologies, Zeus, Chronos, Odin, Isis, Horus, all people..
The "gods" of the past were simply akin to what "celebrities" are now, in many respects, although with the important distinction, that, until recently, preferences were existed in favor of some individuals and not others based on artificial moral preferences.
Well, to be fair, that was true in the past as well.
For example, Matt Damon plays like every major figure from mythology or something, which is you know, stupid, but a bazillion people have already made all those arguments and such.