Some SBCs for which Armbian images are available (supported, wip or csc) can be powered via USB-C. Depending on its implementation, some pitfalls must be considered. This short tutorial should give you an overview.
'Dumb mode':
The USB-C connector is used similar to the microUSB connectors in previous SBCs. Means that the pitfalls must be considered when you choose a charger and cable. See the following thread for some background:
Additionally, those boards may be problematic with PD compatible chargers. Without a proper PD implementation those PSUs will only deliver up to 900mA at 5V (4.5W). In case you have a board which isn't PD compliant you should go for a PSU without PD implementation aka 'dumb PSU'. Voltage drop from cable and voltage drop of the PSU at hight load itself must be kept in mind similar to microUSB powered boards!
SBCs which don't support PD (also boards not supported in any form by Armbian):
Vim
Vim2
NanoPi M4
NanoPi NEO4
Orange Pi 4
PD mode (power detection):
With a proper PD implementation, a PD capable PSU can deliver 'more juice' on demand. It's also possible to deliver power at higher voltage (between 5V and 20V). See graphic (12V is missing here):
(source: https://www.digikey.ch/en/articles/techzone/2017/mar/designing-in-usb-type-c-and-using-power-delivery-for-rapid-charging)
To ensure proper powering you should go for a PD compliant PSU. See documentation of your board to see which PD modes are supported within your SBC. Boards known to support PD-Mode:
ROC-RK3399-PC (Renegade Elite)