There is no formal definition of intelligence, much less one metric that allows you to measure and compare it. A big hint in the discussed issue is the fact that we have long been able to create machines that perform better than humans in specific tasks that require (so far) intelligence, e.g. playing chess/go. Of course, "general intelligence" is a much more complicated topic, although you can imagine a group of independent automata, each specialized in a particular task, and the set of these tasks overlaps with "general".
Intelligence is a specialized survival tactic, which in humans has replaced or overpowered various instincts. We still have some physical strength, and eye hand coordination. Can intelligence be taken to a further extreme in another life form through genetic manipulation? For sure! Though other strengths would fade. In the form of a computer? For sure! That's what they're made for. Though, I would not want to go through life without the sensations I currently get to experience... tastes, sex, the wind on my face. (Then, again, all experiences are relative.) You could create a more intelligent specie, but I don't believe it would be "better."
I think it is definitely possible that humans design and implement a computer-based intelligence that is more intelligent than a single human.
For details check out: https://www.researchgate.net/project/Human-Mind-Simulation-Project
Let us start with some definition of intelligence: the ability to create complexity with structure. A small child can create a tower of wooden blocks. A 8-year-old can create a short story of a summer vacation. An engineer can create the design of a bridge. A large firm can create a nuclear power plant. Humanity can create a culture.
Intelligence is, to some extent, a matter of quantity. More people are often more intelligent: they are capable of something no single person would be capable of. If a large number of humans works for a long time on building computer-based intelligence, it can superseed humans.
1) Does a mother give birth to children who are smarter than she is? 2) Is the child and the mother really two completely separate individuals?
3) If a person could use AI to improve their ability to survive in society, would they not do so? What is the difference between this and a person taking drugs to treat disease 4) The mother gives birth in a few hours, but the process takes ten months. Nothing comes out of nowhere, nor does it exist independently. The final form is a state of gradual fusion. The "AI" (he) that we fear or expect at present is actually a more survivable version of ourselves. This story happened once before in the 18th century, when we thought God created species so God could fly, and now with gene editing we're doing God's work, but in a different form.
Everything that parents do for their children is a literal example of a system humans built. Every time we find ways to save information for the future generation we build a system. Every time anyone finds cures for pandemics that threaten millions of people we add to that system. Every time people define intelligence as only having one form they diminishes that system. Anytime** humans rate and/or place favor onto intelligence by gender, race or age they degrade that system for an entire generation. My recommendation, please don't make one more system. We already have way to many. **Also, unless you have experienced life well enough to learn to be a human being in -all- our aspects your systems will apply only to a select group of humans.