I think with infinite time it would probably be possible in theory, but so much of todays technology relies on economies of scale that doing it the same way would not make a lot of sense for a single person.

So A smart person would probably create technology that looks very different from the stuff we are using today

“infinity … guarantees all possibilities” no, no it does not and that is such a common misunderstanding of infinities its kind of annoying.

I.e. The list of all even numbers is infinite and still doesnt include a single odd number. Real numbers are densely infinite and still dont include the imaginary unit or chocolate cake.

If you had infinite time, you still would probably not be able to learn to fly with just your body and still would die if you stopped breathing.