As far as the pump, the only thing you can do is check fuel pressure to see if it is weak. Here is a link that explains how that is done:
https://www.2carpros.com/articles/how-to-check-fuel-system-pressure-and-regulator.
As far as testing the sensor, it can be done by checking if there is a low reference signal to it, power, and then a signal from the sensor. I have to ask. Have you scanned the computer to see if there is a stored diagnostic trouble code? Under certain conditions, a bad crank sensor won't set a code, but in other conditions, it will. Also, if by chance you have a live data scanner, start the vehicle and watch the RPM signal to the scanner. See if it acts odd just before the engine stalls.
Also, if you drive the vehicle before it stalls, does it do the same thing?
I'm going to add the directions for replacing the crankshaft position sensor in case you decide to change it. At least you will have the directions. The attached pics correlate with the directions.
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2002 Chevrolet Impala V6-3.8L VIN K
Crankshaft Position (CKP) Sensor Replacement
Vehicle Powertrain Management Sensors and Switches - Powertrain Management Sensors and Switches - Computers and Control Systems Crankshaft Position Sensor Service and Repair Procedures Crankshaft Position (CKP) Sensor Replacement
CRANKSHAFT POSITION (CKP) SENSOR REPLACEMENT
REMOVAL PROCEDURE
pic 1
1. Disconnect the negative battery cable.
2. Raise and support the vehicle. Refer to Lifting and Jacking the Vehicle.
3. Remove the right splash shield cover.
4. Remove the crankshaft harmonic balancer.
5. Disconnect the sensor electrical connector.
6. Remove the crankshaft position sensor (CKP) shield (1).
pic 2
7. Remove the CKP sensor bolts.
8. Remove the CKP sensor.
INSTALLATION PROCEDURE
pic 3
1. Position the CKP sensor to the block.
NOTE: Refer to Fastener Notice in Service Precautions.
2. Install the CKP sensor bolts.
Tighten
Tighten the bolts to 30 N.m (22 lb ft).
pic 4
3. Install the CKP sensor shield (1).
4. Connect the CKP sensor electrical connector.
5. Install the crankshaft balancer.
6. Install the right splash shield cover.
7. Lower the vehicle.
8. Connect the negative battery cable.
9. Perform the Crankshaft Variation Learn Procedure. See: Vehicle > Programming and Relearning
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I have a couple other questions. When the engine starts and runs, does it just shut down as if you turn the key off or does it slowly die as if it is a fuel related issue? I wonder if you have a fuel pump relay that is failing.
Let me know.
Joe
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Sunday, January 12th, 2020 AT 3:57 PM