Nietzsche's Idea of Eternal Recurrence : a Way of Understanding Our Lives? Ha. There is definitely room for all possibility in an 'infinite' universe. So your musing must be correct! [provided the universe is infinite- which I am inclined to accept on flimsy evidence].
You specifically say- 'nothing is chance and we are all complex parts within wider cycles of time.' Looking at the semantics of the first part of your statement- nothing [probably meant in the context of 'excluding no elements'], is chance [where any outcome is derived from a set of circumstances which cannot be random]. This would set up a reality then excluding chance as being a factor in all real circumstances, yes?
And so it is.
Should your own proximate reality be able to create this possibility, which it does, then this scenario does exist in fact. What it says to other possibilities can only be derived locally- in effect by our own limited sensibilities in the present mind, as we all must as part of the human condition.
Bully then, I can buy into this sentiment as you express it.
But for fun I will deconstruct the semantics of your sentence to create something other...
'nothing is chance and we are all complex parts within wider cycles of time'. nothing [in this case meaning 'no thing', which as I now interpret as intended to mean 'that which lies outside the universe of things']. Such universes would be totally alien to our understanding and yet still possible in an infinite universe, then the word combo 'is random' [in this case now reversing your original intent and affirming randomness by just rejiggering the context of 'is random'.
So then these other universes can be totally random in the infinite domain and not even violate your original proximate construct.
Now as for the later part of the sentence- 'we are all complex parts within wider cycles of time'... wow, that is a concept begging more contemplation- like a semester courses worth at university scale.
As for myself, I'm not one to pigeon hole reality instead letting it prosper under its own accord. The capacity of people to muse at the horizons of oblivion is inspiring.
Victor