I don't think so, because it seems like there are two policies that conflict with such a payment. First, in most cases fast offering assistance is intended to be temporary. The number one objective of all welfare assistance is to help the member become self-reliant. Even members who receive long-term assistance do all that they can. An automatically recurring payment would tend to decrease oversight over that expense, and might encourage reliance by the member, in direct opposition to the first principle.
Second, the bishop has to approve all of the fast offering expenses. To me, setting a payment on autopilot results in the bishop not actually approving each of the expenses.
I'm not saying that the bishop can't approve expenses that recur, just that he has to approve each one. I agree with RussellHltn that a good Ward Clerk is invaluable in keeping track of any recurring expenses, maybe by providing the bishop with a monthly Fast Offering Recipient report and having the bishop preapprove any expenses that will occur in the next month. That way, the member's needs remain visible to the bishop, but he isn't constantly having to handle specific requests directly from the member.