No
Arbitration clauses are not just part of a contract, they are a contract in their own right: they can be upheld even if the arbitrator ultimately decides the contract they are in is invalid. This is known as the severability doctrine.
That said, they are contracts and can fail for all the same reasons any other contract can e.g. duress, fraud, misrepresentation etc. However, because they are separate from the contract they are in, this very rarely happens.
They are limited to the scope in the agreement. This one is quite narrow and only applies to disputes about “user agreement” - if the dispute between the parties is about something else then it falls outside the scope and would require agreement to be arbitrated. That is, the parties would need to enter another arbitration agreement to cover that dispute.
More broadly, keeping private disputes out of the courts is considered good public policy. As such, if there is a dispute resolution clause in a contract, whether it requires non-binding solutions (negotiation, mediation, conciliation) or binding resolution (expert determination, arbitration), courts will insist that they be followed.