There have been a few cases of lawsuits seeking support from sperm donors, mostly the ad-hoc kind where a man provides material to an acquaintance, with a verbal agreement that she won’t seek money.
I don’t think any of them has resulted in a child-support order, because that would open a HUGH financial can of worms for the whole industry.
The sperm donor agreement is between the woman and the man. There is no agreement between the child and the man. I seem to recall that one such case went to court and the child won.