Yes, “bribing” school board members or something that certainly looks like bribery does happen, and it takes all sorts of forms. One of them is accepting campaign donations from people who have an agenda for the particular board member to whom they are making the donation.
The two articles below are about matters in the Lamar Consolidated School District. See for yourself what you think.
2. Fort Bend Sheriff Investigates Bribery Charges (This article has since been removed from Covering Katy)