Easily.
A calculated gamble was taken to use the Hubble Space Telescope — pointing it at a known, very dark area of sky. The total exposure time was of 11 days.
They got this:
That is the Hubble Deep Field and those aren't stars but entire galaxies of stars invisible to the naked eye.
It takes a few photons of light hitting your retina in a short space of time for you to perceive something is there. While there are a massive number of photons emitted by a star, the number per unit area drops off by the inverse square law.
A certain amount of photons passing through an area at a given distance passes through times the area at times the distance, times the area at times the distance, times at times etc. The number of photons per unit area drops off quickly and so much so that the photons from the galaxies in the Hubble Deep Field arrive far too far apart in time to trigger a human retina and let you know anything is there.
That image is one twelfth the width of the Moon. Looking away from our galaxy's disc (where there would be significant dust to get in the way) you should expect a similar number of galaxies would be found over most of the sky and doing something similar years later in the southern sky produced something similar.
But as with the original almost all of the galaxies that are actually in the night sky are invisible to the naked eye.