Hood latch cable pulled out

Broke the cable or broke the latch? If it's just the cable, sometimes you can sneak a long needle nose pliers in and pull the cable by hand. Otherwise, the only way to get in is to remove the grille, and that may damage it. Sorry. no other way

You have 2 choices. You can try to grab the cable through the grill, cut it then see if the wire can then be pulled to release the hood.
Another option is to go from underneath with big screwdriver to move the latch thus releasing the hood latch. Not sure if you can get access to it on this vehicle easily. try a flashlight and from under the car reach way up into the latch area.

how to?
open hood(bonnet) and remove the latch (screws)
replace it
the adjust it . per FSM book.
if you cant open it , that is a problem. so, if the latch is cable driven
most cars we can pull side of cable (look all places for it)
do this
person one tries to lift hood
person 2 tries to pull cable.
person 3 pulls cab handle, POP!
ok its not cable driven its electric
hot wire the solenoid. find the wire to it and hot wire it.
we have to Australia cars here so our alldata.com is of no help.

push down on the hood while someone pulls the cable
if not cut the cable and pull to open sounds like the cable is broken anyway

That used to happen to my 85 camaro, I had to have someone pull up on the hood while I pulled the cable. If that works for you once the hood is open make sure to lubricate the latch mechanism at regular intervals.

can you grab a piece of the cable from under dash?if so pull it and see if it will open.
if not you will have to try to get at latch from under car.
if you cant get at it find a reasonably priced body shop they are pros at getting stuff like that open
then get a new cable or pull handle or latch whichever it needs and replace it

first, try smacking the hood at one of the front corners while someone else pulls the release handle. or even after you've pulled on it. if that works, once open, adjust and lubricate the hood latch assembly. if it still won't open, and it's the cable and not the latch you'll have to replace it anyway, so instead of removing the grill, cut the cable behind the pull lever under the dash where you can reach it. then skin the outer cable insulation away from the actual steel cable exposing an inch or two of it. then holding the insulation and plastic housing with pliers, grab the steel cable itself with pliers and pull it to open the hood. then replace the cable. the further you can reach up under the panel the better your chances of getting past the broken part of the cable and avoid removing the grill. you might also be able to gain access from up under the car if you're lucky.

Will start simple:
If the handle is broken inside car, find cable end pull with pliers, the handle is replaceable by itself from dealer or junkyard.

If you are pulling handle and hood will not pop up, have a helper pull up on front of hood and lightly bump down on hood near the latch with their hand or fist(careful not to dent) while you pull on handle and it should popup, now lube it before you close it, the hood may then need to be opened and closed several times to work lube into latch(this sticking is common when latch system is not lubricated regularly).

If the before mentioned does not work...the cable could be detached at latch which is usually caused by: lack of lubrication and/or trying to open hood in winter after going through carwash.
Now things get trickier and you're best finding a shop that can raise the car up so that they can jimmy it from below.

Is there any part of the cable inside the cabin that you can pull with a pair of pliers? I suggest that you try that. You may need to disassemble it from the pull handle to make that work.