Yes, it is permissible; because the condition is the ownership for the poor, and it has been achieved whether it is one or more. Likewise, what is required for one can be given to a group of needy people; because the obligation is zakat, so it is permissible to collect it and distribute it: like the zakat of wealth. See: Bada'i' al-Sana'i' 2: 74-75.