No, Chesterton's Fence says for you to leave and think about why someone put it up originally, and figure out what was good about the fence. What you should instead do is look at the fence and the dangers on the other side and see if it seems worth it.

A lot of 'fences' in engineering are there for no good reason at all, so blocking until you can come up with some good reason for the fence is a waste of time.

Chesterton would have you believe that the ancients had great wisdom, and that you should try to find that wisdom before you make changes to anything. The reality is, the ancients knew even less than you do, reasoned worse about problems, and used inferior systems for generating solutions. Progress! It's real!

To remind what Chesterton said: "The more modern type of reformer goes gaily up to it and says, "I don't see the use of this; let us clear it away." To which the more intelligent type of reformer will do well to answer: "If you don't see the use of it, I certainly won't let you clear it away. Go away and think. Then, when you can come back and tell me that you do see the use of it, I may allow you to destroy it."