Can I sell my iPhone I to Apple

You can trade in your iPhone to Apple for credit toward a new iPhone, as long as your iPhone is in good physical condition. You can learn more about Apple Trade-In, including how much your iPhone is worth, here: Apple Trade-In

It looks like the OP has an iPhone 1 (the first model) and is hoping it's 'worth something' as a historical artefact ;-)

Apple will recycle iPhone (original) for free. On eBay, the first iPhone can sell from anywhere from $20 to $200, unless it's sealed in its original box.