As the sibling poster implies, not only are there black hole horizons, but we are ourselves inside of a cosmological horizon. Objects outside the horizon are impossible to see, and objects approaching it from the inside will redshift and disappear from view the same way they do when entering a black hole from the outside.
At least theoretically we should be able to receive signals from arbitrarily far away no matter the expansion of the universe. They'll be redshifted like hell though, as you say.
