No, you cannot "refuse to allow the tenancy." You have already entered an agreement that creates the landlord tenant relationship. The question is whether the behavior you described is a breach of the lease provisions and what remedies are available to you if it is. You must take great care in this situation and not exercise "self-help." If your tenants are disturbing the peace, call teh police and have a police report generated. If they are violent or destroying property, make sure that law enforcement is aware of that. Do not try to enforce the law yourself! You could easily end up on the wrong side of a lawsuit brought by your own tenants. I have seen this happen before. Consult a local lawyer, gather all the facts and identify all of the witnesses who can back up your position. But, do not take action on your own.
I agree with Mr Cipolla. Review the terms of the lease with an attorney to determine the legal means you can pursue to evict this troublesome tenant.
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