can you reset iphone with serial number

Sounds like Activation Lock! Without the Apple ID and Password of the original owner, you will never be able to use the device. Activation Lock is a theft prevention feature. Return for your money back or recycle the device at any Apple Store.

There are different kinds of locks. What is the message on the screen?

Activation Lock?

Unavailable?

Security Lock?

Something else?

As far as your question about resetting using a serial number, the answer is "no".

No