The phrase "action to stop any" is correct and usable in written English.
It can be used in contexts where you are discussing measures or steps taken to prevent something from happening.
Example: "The government has taken action to stop any illegal activities in the area."
Alternatives: "measures to prevent any" or "steps to halt any".
Mr Fridman has previously threatened legal action to stop an enforced sale.
Summit Entertainment, acting as exclusive sales agent for the licensors, is investigating and taking immediate action to stop the distribution of any unauthorized posters and to have those posters currently in the marketplace recalled".
A statement said the company was "investigating and taking immediate action to stop the distribution of any unauthorised posters and to have those posters currently in the marketplace recalled".
Roberto Mancini will not be taking any action to stop Mario Balotelli smoking.
According to the N.F.L.'s investigation, Loomis and Payton made only cursory inquiries about the bounty program, and neither took any action to stop it.
Instead, the American/European "problem" with genocide is so often described as one of failing to take action to stop the crime rather than any direct implication in it.
Feeling certain that the railings are movable obstructions and that she is entitled to relief, Allison observes the removal, does not take any action to stop it and thanks the individuals.
The only outside force that has been allowed into the conflict zone is a monitoring mission from the African Union, composed of seven thousand relatively poorly equipped soldiers, who are under orders only to observe the terror and not take any action to stop it.
And when they continue to do that and the Lebanese authorities don't take any action to stop them coming to Syria, I think we are allowed to fight Hezbollah fighters inside [Lebanese] territory".
