Yes, and it depends
What you are trying to do is very common and easy. You need a PLC with an analog input built in, or as an add-on card, and relay outputs.
In the program, you would look at the value from the analog sensor The 4-20mA would be turned into some sort of integer in a corresponding range, say 0 - 2048, where 0 = 0mA and 2048 = 20mA.
You would then use "greater-than", "less-than" and equals compare commands to set your outputs, based on the calculated value of the integer (0-2048) where it would be at the mA value you want, using this formula :
2048 * (x/20ma) = y
So, if you want the alarm to go on at 10mA
2048 * (10mA/20mA) = y
2048 * (0.5) = y
2048 * 0.5 = 1024
Then, in your ladder, something like "If Register X > 1024 then Output 1 ON"
The value of 2048 that I picked is "out of the blue". The actual maximum value will vary with the card you choose.
More specific detailed questions bring more detailed answers.
Good Luck!
TM