@rozzay still have no idea what 0.67 means. I had to look up the manual for your multimeter. It only beeps if resistance is less than 50 ohms. Put the dial on the 200 ohms setting. If it shows a '1', bump the dial to the next larger value.
What you wrote doesn't really make any sense.
Pins 1 & 3 are connected by a coil, so you should see some resistance there. You said "1.2", but 1.2 *what*? Ohms? Kilohms? Megaohms? Pins 2 & 4 should only be connected when there's current running across 1 & 3. 0.67 ohms would certainly be...
Assuming you mean the fuel pump, it isn't activated when you turn the ignition to the on position. The fuel pump is controlled by the ECU. I think I've read that it isn't activated until some oil pressure threshold is reached, but I haven't found an explanation in the factory service manual.