Definitions. Declared as a pest under the Biosecurity and Agriculture Management Act 2019

Probably not. But some Local Governments support residents with problem cats by lending traps or setting traps. If the cat is on your property at night you can pick the cat up you can take it (safely in a pet carrier) to the local pound.

No

Leghold traps (metal-jawed traps) are not permitted for feral cats (but are permitted for fox and wild dog control) in WA under the Animal Welfare Act 2002 except for research purposes and approved by an Animal Ethics Committee. https://www.legislation.wa.gov.au/legislation/statutes.nsf/RedirectURL?OpenAgent&query=mrdoc_41795.pdf

8. Use of devices — metal-jawed traps (s. 29)

(1) For the purposes of section 29 of the Act, it is a defence to a charge under section 19(1) of the Act, committed in circumstances described in section 19(2)(b) of the Act, if a metal-jawed leghold trap is used by —

(a) the owner or leasee of an agricultural or pastoral property, or their authorised agent; or

(b) an officer of a Commonwealth, State or local government agency, who is responsible for wild dog control,

for the purpose of wild dog control.

(2) The person using a metal-jawed leghold trap in circumstances described in subregulation (1) must ensure that the jaws of the trap are bound with cloth containing sufficient strychnine to ensure a rapid death for any animal likely to be caught in the trap.

(3) For the purposes of section 29 of the Act, it is a defence to a charge under section 19(1) of the Act, committed in circumstances described in section 19(2)(b) of the Act, if a metal-jawed leghold trap is used by a person participating in a research program, approved by an animal ethics committee, for the purpose of carrying out research under that program.

(4) The person using a metal-jawed leghold trap in circumstances described in subregulation (3) must ensure that the jaws of the trap are sufficiently padded, or the trap has otherwise been modified, so that any animal caught in the trap is unlikely to suffer significant injury.

(5) For the purposes of section 29 of the Act, it is a defence to a charge under section 19(1) of the Act, committed in circumstances described in section 19(2)(b) of the Act, if a metal-jawed leghold trap is used by —

(a) the owner of land or the owner’s agent on the relevant land; or

(b) a licensed pest control operator,

for the purpose of fox control.

(6) The person using a metal-jawed leghold trap in circumstances described in subregulation (5) must ensure that —

(a) the jaws of the trap are sufficiently padded, or the trap has otherwise been modified, so that any animal caught in the trap is unlikely to suffer significant injury; and

(b) any permit to set the trap required under the Biosecurity and Agriculture Management Regulations 2013 has first been obtained.

[Regulation 8 amended: Gazette 5 Feb 2013 p. 827.]

Delicious tiny chippolatas

Yes, if you are persistent enough and don’t lose the will to live getting all the approvals. Felixers have been demonstrated as safe in the presence of quolls, bettongs, wallabies, numbats etc

https://thylation.com/felixer-faqs/
https://library.dbca.wa.gov.au/static/FullTextFiles/072483.pdf
https://library.dbca.wa.gov.au/static/FullTextFiles/072482.pdf

under the Cat Act 2011, some councils in WA offer cat traps on loan or for hire to residents.

Your local city council ranger and surrounding councils.

RSPCA – 9209 9300.

Cat Haven – 9381 1644.

Shenton Park Animal Refuge – 9381 8166.

Encapsulated toxin. Pros and cons. https://pestsmart.org.au/wp-content/uploads/sites/3/2021/03/CISS-Glovebox-Guide-Cat-web-1.pdf

Some things about hunting