Is it safe for a screw at the terminal block to have multiple wires with fork connector end connected to it?
From the comment to @Mattman944's answer it appears that your question is based on a poor understanding of how voltage and current interact.


  Actually my main concern is whether the 2 fork connectors (as in pic above) would result in a short circuit scenario when they are in contact with each other. 


In effect you really want a short circuit. Both wires should have the minimum resistance to the terminals and since they are in close contact and screw clamped together the resistance between each other and the PSU terminal will be very low as in a "short-circuit".







simulate this circuit &ndash; Schematic created using CircuitLab

Figure 1. (a) A good circuit. When the switch is closed LAMP1 will light. (b) A short-circuit. When SW2 is closed a high current will bypass LAMP2 via R1. Hopefully F2 will blow.

The term short-circuit is usually used in the context of an unintended alternate route between two points in a circuit.


  The resistance of the 2 wires are different. And the 2 wires draw different amount of current. 


The wires will be sized according to their load.


  Could there be a case where current drawn to fork connector 1 flows into fork connector 2, and thus resulting in excess current into wire with fork connector 2 (because the fork connectors are in contact)?








simulate this circuit

Figure 2. The current drawn by LOAD1 does not affect the current drawn by LOAD2.

No. Current flows in a loop. The current that flows into fork connector 1 is used by the load on that circuit. It can't induce additional current in the other circuit. (Note that one load can cause the voltage to sag a little and that will affect all the other loads connected to the power supply. You may have observed your house lights dim when a large load is switched on.)


  Is it safe to be stuffing multiple wires with fork connector end into one screw terminal? And what is the understanding behind?


Yes, provided adequate contact is made and the terminal is rated for the combined current.

Electrically the situation is the same as you plugging in various items into your household supply. With a constant voltage supply each load draws the current it requires without affection the others.



From the comments:


  : 1. When converter is on, we know the screw of at the terminal is at output voltage (this case, 12v).


OK. But 'V' for volt. (The symbol is uppercase. The spelled out word is lower as for all SI units named after a person.)


  
  Assume the case where 2 forks are not in contact with each other initially (because of the plastic protruding insulations just above the lugs as seen in the above pic, they prevent the screw to be screwed all the way in to keep the forks together).
  


That's not the situation. Look what the guys in forensics found after image enhancement:



Figure 3. The fork terminals have been correctly installed back to back to ensure full contact of the forks without straining due to interference of the crimp barrels. Fork (1) is installed "upside down" and fork (2) is installed "right-way-up".



Figure 4. Fork terminals are not symmetrical about the horizontal plane through the barrel centre. When installing two into one terminal it is advisable to mount them back to back.


  And assume the forks are in contact with the screw in the terminal, so current will be drawn by each of the fork to their wires.


The whole terminal, fork, fork, screw arrangement is now one conducting mass of metal. All points should be at the same potential.


  
  Now, say because an accidental nudge to one of the wires (while the circuit is running), and then the 2 forks which are already carrying their respective current come in contact. Could this induce a short circuit? 
  


No. If installed properly they are fully in contact already.


  Could this be similar to how 2 live wires touch each other and cause a spark?


No. Two live wires1 touching each other won't cause a spark because they're both live and at the same voltage. You'll only get a spark when two wires of different voltages touch each other.

1Assuming that they're on the same phase of the supply.