On Samsung devices with at least Android 9 (One UI) it is unfortunately not possible to directly disable the sound on screenshot, but to turn off the sound, the system sounds must be set to Silent.

Android 10 | One UI 2.0
How to Turn On/Off Screenshot Sound -  Open the  Settings
How to Turn On/Off Screenshot Sound -  Tap on  Sounds and vibration
How to Turn On/Off Screenshot Sound -  Tap on  Volume
How to Turn On/Off Screenshot Sound -  Move the  slider  to the far left
  1. Open the Settings
  2. Tap on Sounds and vibration
  3. Tap on Volume
  4. Move the slider to the far left

Samsung Instructions
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