You can’t prevent a tenant from having a tenancy just by not giving them a written tenancy agreement. As soon as they go in and start paying rent, a tenancy will be created under s54(2) of the Law of Property Act 1925 (which sets out the circumstances under which a tenancy agreement is not needed for short lets).
As soon as a landlord allows access into the property and accepts rental payment, a verbal contract is formed. So this whole, “get out of my property with in 3 days” rant won’t fly, or at least, it’s not legall。The fact a tenant does not have a written tenancy agreement does not affect a tenant’s statutory legal rights, in fact, nor does it lesson the landlords legal rights. Both parties are still protected by statutory/common law.