No it does not. If it’s a cellular capable model it will say both GPS and LTE on the glass on the back of the watch.

In addition to the red ring that other people said in comment section, a cellular watch should say LTE in the caseback. Maybe get a picture of the caseback to confirm as well?

Ask the seller to send you photos of the watch before you discuss meeting up. Take a photo of the back of the watch and of the crown.

Don’t rush into a purchase when you don’t have all the information. Any seller trying to be high pressure like that is likely trying to scam you somehow. Slow down, take your time, be patient.