Pour 1 cup room-temperature water into the Instant Pot inner pot and place the trivet inside.
Grease four silicone egg cups or small ceramic bowls with oil or oil spray and set them on the trivet so they sit securely.
Carefully crack one large egg into each greased cup.
Close the Instant Pot lid and set the steam release valve to the sealing position.
Select the "Steam" function and set the cook time for your preferred doneness: 2 minutes for soft whites/runny yolks, 3 minutes for soft whites/slightly set yolks, or 4 minutes for firm whites/solid yolks. Start the cooker.
When the timer beeps, perform a quick release by carefully moving the valve to the venting position (keep hands and face away from the steam).
When the float drops and it is safe to open, remove the lid. Use tongs or a heatproof tool to lift the egg cups from the trivet and tip away any condensation water that collected on top of the eggs.
Gently transfer the poached eggs onto a paper towel–lined plate to absorb excess moisture.
Season with salt and pepper to taste and serve immediately.