Do my chickens need space?

[Big Bad]

Currently at an awkward position in my first-year– I have a very small starter base(a rammed earth hut, smithy, and walls for defence) I operate in currently while I build a proper home, and I recently caught a rooster and hen which I keep in a pen next to my sleeping quarters. Since they were recently wild, they constantly run when I'm home, even when I'm in my room out of their sightline. I'm just curious if this will hamper egg production or their domestication in general and if relocating them is worth it.

[Maelstrom]

Hens will spook if you are within 11 blocks of them.  Spooked hens will not brood which will make hatching chicks take longer.   Otherwise, proximity will not impact egg production.