Welcome, @RLiu.5, to the community!
No, unfortunately the L6562 does not yet have this disable function, it was only added in the successor L6562A.
The L6599A has a special pin with which the upstream PFC can be switched off: PFC_STOP. The datasheet of the L6599A says:
To help the designer meet energy saving requirements even in power-factor-corrected systems, where a PFC pre-regulator precedes the DC-DC converter, the L6599A allows that the PFC pre-regulator can be turned off during burst mode operation, therefore eliminating the no load consumption of this stage (0.5...1W). There is no compliance issue in that, because EMC regulations on low-frequency harmonic emissions refer to nominal load, no limit is envisaged when the converter operates with light or no load.
To do so, the L6599A provides pin 9 (PFC_STOP): it is an open collector output, normally open, that is asserted low when the IC is idle during burst mode operation. This signal is externally used for switching off the PFC controller and the pre-regulator, as shown in Figure 26.
For examples of how PFC_STOP disables the PFC, see the application notes on the L6599A website.
Good luck!
If the problem is resolved, please mark this topic as answered by selecting Select as best. This will help other users find that answer faster.
/Peter