Is there a way to measure TX/RX and RX/TX switching time on ADRV9002 under TDD mode?

In TES->Automated TDD tab, you should be able to enable Rx1 Pin and Tx1 Pin, assign GPIOs to them, and measure time between those pin toggles with logic analyzer.

-Stefan 

What do those pins do? Do they toggle to enable TX/RX or when they are toggled the TX/RX are already up?

In automated TDD assigning GPIO to Rx1 or Tx1 pins means that those eval board GPIO pins will reflect the Rx/Tx enable signals, as shown in the timing diagram in TES (once you enable automated TDD checkbox).

If you want to enable Tx/Rx through GPIOs then you would need to choose "Pin" as channel enablement mode in TES->Radio->Radio Control. Please also see TDD Enablement Delays tab in TES to find more accurate details on switching time.  

In automated TDD assigning GPIO to Rx1 or Tx1 pins means that those eval board GPIO pins will reflect the Rx/Tx enable signals, as shown in the timing diagram in TES (once you enable automated TDD checkbox).

If you want to enable Tx/Rx through GPIOs then you would need to choose "Pin" as channel enablement mode in TES->Radio->Radio Control. Please also see TDD Enablement Delays tab in TES to find more accurate details on switching time.