So the iwata airhose uses a different thread standard, you'll need this adapter, or one similar, to connect an iwata airhose to the Timbertech compressor.
https://www.amazon.com/Iwata-Medea-BT-010-Air-Hose/dp/B000BQO8W4/ref=mp_s_a_1_3?crid=OLJ94HKAF6SJ&keywords=iwata+air+hose&qid=1652633666&sprefix=iwata+airhose%2Caps%2C195&sr=8-3 https://www.amazon.com/gp/aw/d/B002VZUKH0?psc=1&ref=ppx_pop_mob_b_asin_title
1/8th to 1/4th connector.
It is essentially this part https://www.amazon.com/Master-Airbrush-Conversion-Connector-Compressors/dp/B002VZUKH0. Im not sure exactly how the compressor portion works but in theory, you could remove that connector and add a hose to it. Im just not sure how the trigger is designed on this model for it to turn on.