can export from Fritzing software a PCB design -to-> pcb123 software by SunStone?
If you want to transfer both schematic and pcb to the pcb123 package, then probably no. The schematic format is internal to Fritzing and there is no export mechanism that I know of. Fritzing will export the pcb as a standard gerber file which the board house part pcb123 should be able to make boards from though, if they don’t require the design to be in pcb123. The gerber files can be obtained from Fritzing by clicking
File>export>for production->Extended Gerber (RS-247x)
Most any pcb house should be able to make boards from the gerbers.