Randomly shutting off now will not start

Short answer is yes, the fuel pump can act like this. So we need to start with this to find out if this is the issue. Here is a guide that will get us started:

https://www.2carpros.com/articles/how-to-check-fuel-system-pressure-and-regulator

Here is a guide that will help with a no start issue as well:

https://youtu.be/dCjmRL3p4Cs

This could be an issue with the crank sensor as well. So when you are cranking the engine do you see the RPMs moving at all? This is a good indicator that the crank sensor is working.

https://www.2carpros.com/articles/symptoms-of-a-bad-crankshaft-sensor

I attached the process below for the crank sensor so if the fuel pressure is okay, I would suggest we change the sensor and retest.

Please run through this material and let us know if you have questions.

Thanks