It is never correct, in an infiniverse, to say ‘all’ the gods (or any other entities) have certain powers and attributes. An infinite number will and an infinite number will not.
Having gotten that out of the way, one attribute of many gods in my Izan fiction is the ability to have sex with anything — inanimate objects like mountains and rivers included — and have offspring. Many gods also — and the two groups overlap but are not all the same in this — can choose whether or not to have those offspring.
The latter is true of Xido’s pantheon. However, when he chose to put aside (most of) his power to become Xit, the all-too-human wizard, and wander with Saj in ‘The Eyes of the Wind,’ he lost that ability. It became a matter of chance and, so, Qala the Pirate Queen ended up pregnant with his child (Qala and her son have their own story arc in the Crocodile Chronicles novels.). Xido loves to gamble anyway and he tossed the dice this time.
It can be assumed all his pantheon can have offspring with humans. Whether that extends to any other species, I couldn’t say. It may be noted however that their ancestry includes some powerful being from outside their own world; otherwise, they would not differ from the brutish mafadwi over whom they rule. I have described it as a firebird but not really explained what that is — nor are the gods themselves certain.
Most of the gods I’ve described in any detail at all seem to be mutually fertile with humans. Most of them are also more-or-less humanoid (at least when they choose to be). What makes them gods is that they are rulers of — or at least dominant in — their respective universes. They are not the creators of those worlds, though they may have had a hand in shaping them.
There are no such gods in our own world. It is simply not structurally suited to their existence. Nor is it easy for deities from elsewhere to visit. We had to depend on a big bang to form us. Exura, the world where most of my stories are set (Izan being the name for all the infiniverse), likewise has no indigenous gods but was shaped by powerful elementals, that manifest themselves through the jewels known as the Eyes of the Wind (among other names). However, it is relatively easy for gods from elsewhere to pop up there and, therefor, have worshipers. Or at least people to use their names in vain.