Does 2006 Pontiac Vibe have an intank or external fuel filter?

More than likely you have a lean code based on the check engine light and these possible suggestions.

So, we need to start with running through checking for a vacuum leak and fuel pressure which will rule out these possible causes.

https://www.2carpros.com/articles/checking-a-service-engine-soon-or-check-engine-light-on-or-flashing

https://www.2carpros.com/articles/how-to-use-an-engine-vacuum-gauge

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

Once we know what this info is, we will have a better idea as to what the issue is.

However, to answer your question, you only have a filter in the tank on this vehicle. So, you could have an issue with this, but the pressure would be low if this were the case so let us know what you find. Thanks