Well, as an answer for your question's title, yes you can.
But after seeing the schematic, the answer has changed to no you can not.
The optocoupler's input is an LED, any LED is a diode, which has a forward voltage (Vf) and has a maximum current (Imax), but generally speaking, these small LEDs you use with microcontrollers generally have a maximum current of 20mA, it is better anyway to check the datasheet of your LED or your optocoupler in this case.
Now the problem is you are appying (+24V) which everyone can guarantee is greater than the (Vf) of the LED, which will result in very high current that would lead to the destruction of the LED, hence the optocoupler would be useless.
A cheap, yet suitable solution is to add a current limit resistor which needs to dissipate the rest of the voltage and limit the current to 20mA or less, as mentioned, the datasheet will give you the range you can work in, but I will just go with 10mA, and a forward voltage of 2V, just to simplify the calculations in this case.
R = V / I = (24 - 2) / (10mA) = 2.2Kohm, that is a 2.2Kohm resistor in series with the LED, needless to say, it wont actually matter if you put it before or after the LED, in other words it does not make a difference whether the current passes through the LED first or the resistor first.
Now afer we solved the first problem, let's talk about a second/side problem, do you know what is the advantage of using an optocoupler?
The main advantage is having electrical isolation between the two sides (input and output), you clearly are not taking this advantage, so you paying extra money, if you do not care about electrical isolation (which I will not go into details about it), I suggest you use a normal transistor.
Thank you and good luck.