No. The problem with science is that in part it relies on trial and error. That could get messy on a societal level. We should utilize observation with scientific methods to inform our decisions. Unfortunately a lot of people don’t do that currently and scientific data results can also be manipulated to fulfill an agenda.
Well in your scenario who will implement this? Furthermore, what is the goal that you’re trying to engineer with a science based government? Is it personal happiness, population numbers, the production of capital, or to indoctrinate the masses to serve the state? Are you going to justify the use of eugenics? What happens when goals conflict or individuals don’t want to participate in experiments? What if the science you’re implementing has different philosophies or different schools of thought? How do you determine what is the optimal method?
I think a better term to use would be “fact-based policy.” I believe that even if we intended to rework politics to be more scientific, it would just lead to all the same manipulations and twisting of facts that current politics involves. Don’t like a particular scientific consensus because it interferes with your goals? Hire a bunch of “think-tanks” to publish contradictory papers. Hah, guess what, that’s where we already are.