It can. In theory.
The theoretical part is the "uncorrupt government" you speak of.
The only way to keep a govt "uncorrupt" as you put it is under pain of literal death. And even then its not foolproof. Some will still be tempted.
If you want a govt that will serve the people while being as incorruptible as possible you have to choose politicians by lottery instead of election. They get called, go serve, then go back to the life they had before. Like 4 years of Jury Duty. Political graspers, climbers, those will always trend towards corruption. Like that old addage, anyone actively seeking political office is unfit to serve in that capacity as their motivations are suspect. Power, authority, etc. All that is only intensified in a system as inconceivably corrupt and broken as ours is.