Speaking as an amateur night sky photographer, we don't have a star right on our axis of rotation even now. Polaris is close, but off by a bit.

The night sky doesn't have enough light to get a decent photo, unless you extend the time the shutter is open by, say, a minute. the sky moves appreciably in a minute (if you've seen a photo with 'star trails', that's what's happened).

If you're like me, and want stars sharp you're limited to maaaybe 15 seconds (depends on how close to the axis you're pointing, both in direction and elevation). Without getting into how 15 seconds is do-able but limited, there's another approach - a thing called a 'tracker', which is a device that turns at the same speed as our planet, and, if you've lined it up so the shaft is exactly parallel to the earth's axis, you can make the stars effectively stand still - which is why I care about Polaris being a bit off.

I'd have a bigger problem in the Southern hemisphere - there is no star close to the axis.