I don't know anything about the Gas Sensor Board in your schematic. And, I don't know what the battery voltage is, so I can't say if it's "safe". The resistors should prevent excess current if something goes wrong, although the 100 Ohm resistor is not quite high enough if the end connected to the Gas Sensor gets shorted.
A short is simply a "connection". Usually, it implies an unwanted connection. For example, if you accidently short (directly connect) an output to ground or to the power supply, you can damage the device. Similarly, if you short two outputs together one can go "high" while the other goes "low" and the device can be damaged. A short is zero resistance, which means excess current can flow, possibly damaging something.
You can get similar results if you connect something with too-low of an impedance. For example, connecting an 8 Ohm speaker to one of the Arduino's outputs will cause excess current to flow.
Another common way to damage something is to over-voltage it. If you connect 12V to the 5V power-input (or any input/output pin), you may damage the device.
It's generally OK to short inputs together, and the normal operation of the reset button is to "short" the reset line to ground... So, it's not always a bad thing.
The opposite of a short is a "open". This generally means that there is no connection where there should be a conection. An open is far-less likely to damage something, since with no connection, no current can flow. Again, a switch or relay can intentionally open a connection.
I am ultra noob when it comes to electronics. ... any incidents such as "short circuits" or any disfunction on the "materials".
If you are new to electronics, you are probably going to "blow up" (electrically damage) some parts sooner or later.
It happens to experienced engineers too! It's a bit "dangerous" to start-out playing around with expensive parts... If you take electronics in school, they will start you out with resistors & capacitors that are almost free, and work-up to chips that cost less than a dollar, before moving-up to microcontrollers and other more costly parts.