There is a Thread about how to get more requests. Neighbor started it with his suggestion that you fill your pockets with flowers and go to the beach and either swim or stay in the water for 4 to 5 minutes to increase your probability of getting a PWP request. It helps if you have good relationship with your neighbors.
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I've tried multiple times to get more than one a day. Using the diving trick, letting it happen on its own, filling my pack with random things neighbors won't take, etc. Nothing. Natta. No dice. Big ol' negative.
The only instances where I get more than one a day is when a special character like Blathers or Isabelle requests them. Other than that, no bacon.