Is my 2010 Honda Jazz safe to drive 14km for a mechanic check if the engine light is on and 'd' light is blinking?

Without knowing what the problem is, we can’t advise driving the vehicle any farther as you risk doing more damage. Clearly there’s something with the driveline and the car needs to be scanned to find out what it is.

On the plus side, often the blinking D indicator light means there’s a problem with the transmission pressure sensor, rather than a major problem inside the transmission itself. But until you can determine that for certain, driving the car at all is risking destroying something large and expensive.