Heat the oil in your pressure cooker with the lid off, then add the onion, carrot, and celery. Cook to just soften them. Add the rosemary, sage, and bay leaf. Cook for about 1 minute.
Add the soaked and drained chickpeas, water, and tomato paste. Place the top on the cooker and lock the lid, place the weight (jiggler) on top. Turn the heat up to high until the jigglar starts moving and venting pressure, start timing for 13 minutes. (For those using electric pressure cookers, set your time for 18 minutes on high pressure.)
When the time is up, turn off the heat and move the pressure cooker to an unused burner and allow the pressure to release naturally, about 10-15 minutes. (For those with electric models, turn off the keep warm setting or unplug the cooker, pressure should be released in about 20-30 minutes.)
When indications show you the pressure is released, open the pressure cooker. Remove the stems of the herbs if using fresh, and remove the bay leaf. Pour in the 3 cups of water, dry pasta, salt, and pepper as desired.
Bring the cooker to a boil, without the lid, then add the pasta, and cook, without the lid, until the pasta is tender.
Serve.