No, you're capable of learning things. You can't do brain surgery on yourself and add in some more neurons or fix Alzheimer's.
What you can do is have children, which aren't you. Similarly if an AI made another bigger AI, that might be a "child" and not "them".
> We’re talking about a potential intelligence with none of our hardware limitations or baggage.
In this case the reason it doesn't have any limitations is because it's imaginary. All real things have limitations.
> Self-improve? My brother in Christ, have you heard of this little thing called stochastic gradient descent?
Do you think that automatically makes models better?