Yes, but it's not that simple. Funders don't want to be seen as trying to decide where their researchers publish. They can stipulate Open Access (and many do! [1] [2] [3]), but then authors continue to want to publish in the journals with high scores because it helps those careers, so those journals/publishers charge egregious fees to publish there (instead of subscription fees), which are once again paid from public money and raise the barrier to publish research, e.g. for universities in developing countries.
[1] https://www.gatesfoundation.org/How-We-Work/General-Informat...
[2] https://wellcome.ac.uk/funding/managing-grant/open-access-po...
[3] https://ec.europa.eu/research/openscience/index.cfm?pg=opena...