No, it's not. You wrote an UPDATE query like you would have done for an INSERT query. But that does not work like this.
The best is to have the primary key of the record you want to update. Then the UPDATE query should look like:
"UPDATE Table22 SET TOTAL_REVE = @TOTAL_REVE, INSTRUCTIO = @INSTRUCTIO, RESEARCH = @RESEARCH, PUBLIC_SER = @PUBLIC_SER WHERE INST_ID = @INST_ID"
Hope this helps. Good luck.