Is there a place for headphones on my phone?

Uhmmmm….Did you look at the phone?

Think that is a blue-tooth wireless ONLY for headphones.

The Samsung Impression has a proprietary headset jack,
You can connect to Bluetooth or for wired you will need to get a headset that mates with the Interface Connecter interface/Power Adapter connection at the top of the phone.
See page 16 of the manual
User Manual

For accessories

Samsung decided not to put a standard 3.5mm headphone jack on the Impression, so @blueiiznh is correct that an adapter is required to use standard headphones with an Impression.