If they send us enough neutrinos and we have a big enough detector, yeah. I don't think it beats the electromagnetic spectrum for practicality.
The big advantage of neutrinos for communication is that you could send them right through the earth so you could reach a submarine or something without any satellites. There's also the crazy story that never goes away that neutrinos might go faster than light. The result
https://en.wikipedia.org/wiki/2011_OPERA_faster-than-light_n...
was absurdly too fast because neutrinos from most sources have a huge energy compared to the neutrino rest mass so their speed is always very close to the speed of light whether they go just a hair faster or a hair slower. Unless you count an early event that most scientists don't, there was no sign of neutrino dispersion in
https://en.wikipedia.org/wiki/SN_1987A
However when people try to measure the neutrino mass squared they get answers that are within the error bars of zero but trend negative
https://www.mdpi.com/2073-8994/14/6/1172
If the neutrino was a tachyon and you could make super-lower energy neutrinos than maybe you could use it as an FTL communicator.