There is a legal answer and a practical answer.
The legal answer is 'yes' because these proceedings are a matter of public record unless protected by disclosure by court order or statute. Your order is not so protected so you can post it online.
The practical answer is 'not really'. We really don't have a freedom of speech and court proceedings are not completely public. Errors and idiosyncracies in orders are not to be published. Public confidence would be undermined if a bad order was published so you shouldn't post it.
I would post everything. I would abolish confidentiality in all court proceedings on the notion that if people want to air their dirty laundry, anyone should be able to see it. I would post all orders and decisions of every court. To me, that's the First Amendment in action.
I would not post it. A future employer may one day see it and decide not to hire the person.
Just use the Find A Lawyer tab on this web site to find a lawyer who handles workers' compensation appeals. Move quickly though as there are short deadlines.
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Dear Translator in Flushing (my old home):
He has thirty (30) days to file an Appeal; he should use the RB-89 Cover sheet which can be downloaded from the Board's web site and enclose a LETTER explaining why the decision was wrong.
He does not have time for putting something on a web site and hoping someone will want to appeal. There are no legal problems in doing the posting.
He should contact lawyers who only do workers' compensation ASAP and show them the Decision. If one or two turn him down, it may be the Decision was correct. You haven't said anything about the decision or why he thinks it is wrong, so there is no way for us to tell.
The foregoing is based on the little information provided; additional facts may change the comments given.