Certainly, but that would also indirectly de-subsidize the animal agricultural industry. People are addicted to their animal products, going so far as to pretend they're essential and not just a luxury.

Increased price would provide a clear message to these people.

Meat prices are way up in Europe due to various reasons (https://agridata.ec.europa.eu/extensions/DashboardBeef/Dashb...), but it doesn't seem to affect total consumption (https://ourworldindata.org/grapher/per-capita-meat-eu28), just a slight adjustment in what types of meat are eaten.

The purpose of the system is what it does. That would not enrich the people and orgs currently being enriched by the subsidies provided for biofuels. The US is farming ~60M acres just for ethanol and biodiesel.