Here is possibly a simpler explanation of Ohm's Law as it applies to vaping.
Ohm's Law for Dummies

Now, back to you coil question. NO, THAT BUILD IS NOT SAFE FOR THE BATTERY YOU ARE USING.

The two most important things to know when rebuilding coils is to know the a
mp limit of the battery you have and the
resistance of your coil. This is where Ohm's Law comes into play.
List of Batteries and Amp Limits Your battery has a 20 amp continuous discharge rate.
When you build your coil and fire it on your mod, it will draw a certain current (amps) from the battery. That current must not be more than the total amps in continuous discharge rate of the battery, or very bad things could happen.


To find out what current the coil will pull, you use an
Ohms Law Calculator.
You have the
resistance of the coil (what you measured with your ohm meter) and the
voltage (always use 4.2 volts of a fully charged battery), so type those figures into the calculator and then click calculate. The
current is the amps that coil will draw from the battery. Not so hard, right?
Below calculations demonstrate that the lower you go in ohms the higher the amp requirement becomes. See how your
0.19 ohm coil will draw OVER 20 amps from your battery. You are also putting a lot of faith into a cheap ohm reader in being precisely accurate to the tenth/hundreth of an ohm. Always tend to err on the side of safety when you make your builds by allowing some safety head room.
1.0 ohm = 4.2 amp draw
0.9 ohm = 4.6 amp draw
0.8 ohm = 5.2 amp draw
0.7 ohms = 6 amp draw
0.6 ohms = 7 amp draw
0.5 ohms = 8.4 amp draw
0.4 ohms = 10.5 amp draw
0.3 ohms = 14.0 amp draw
0.2 ohms = 21.0 amp draw
0.1 ohms = 42.0 amp draw
0.0 ohms = dead short = battery explosion
Sorry for the graphic photos above, but I believe its important to get the point across that you should not mess with Ohm's Law when it comes to batteries. The batteries we have can be quite safe if you use the correct batteries and do not abuse them beyond their recommended amp limit.
I personally don't believe anyone should build lower than 0.2 ohms of their battery's continuous discharge rate. This gives a tiny bit of head room should your post screws become loose and change the coil resistance. Periodically check your build's resistance to insure it doesn't fall below your target resistance.