Both the FC (assuming you have the SPF3 version) and the 4in1 ESC I know do support Dshot, although I have not tested myself yet. My suggestion would be to do a few low hover testes with Dshot enabled first before going crazy!
In general, an easy way to check if your FC supports dshot it is to go to the CLI in betaflight and then type
get pwm, then the CLI will list all the possible protocols you can use with your ESC, if Dshot is listed there then your FC firmware supports it.
To know if your ESC supports Dshot is abit harder, but in general all ESC released this ear support Dshot, but maybe not Dshot600 yet. ESC need to have some capacitors removed to take full advantage of Dshot so the only way to know for sure is to ask the manufacturer or read the specs as I am sure it will highlight that it supports Dshot.