It's a good question! This type of question (about the size of the universe and the speed of light) is one of the reasons why we developed a theory that the universe had a growth period we refer to as cosmic inflation.

In the very early universe, the universe expanded faster than the speed of light to become quite big. This doesn't break any laws of physics because space isn't a "thing" the way a photon or a calcium atom is a thing. It can expand faster than light moves. That is one of the reasons light speed is dwarfed by the size of the universe. The other reason, of course, is that the universe is very old. Billions of years is an amount of time our brains just don't comprehend.

https://en.wikipedia.org/wiki/Inflationary_epoch