No. Space is too empty, and the Universe is too small, for that to happen. Almost all lines of sight into space don’t encounter anything until they reach the [cosmic microwave background](https://en.wikipedia.org/wiki/CMBR), at a distance corresponding to a time about 370,000 years after the Big Bang. At that time, the Universe *was* dense enough that light couldn’t travel freely, so that’s where lines of sight end (at least if you’re looking at light, rather than things like gravitational waves).
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