I have read the ADA4310-1 data sheet.
Is it not allowed to use between 0 V and 12 V using the 16-Lead LFCSP package?
You can find your answer on page 11 of the ADA4310-1 datasheet. The MSOP package doesn't have a dedicated pin for negative supply and uses the E-pad as reference to ground, you can only use it on single supply applications. While the LFCSP has a pin for negative supply. You can use the LFCSP package either single or dual supply mode.