Er, no.

Drop the mast, eh? It's a Catalina 22. You can drop the stick in five minutes. You will need one of: a mast-sheave exit box;
a mast crane extension (which many C22s have, IIRC); or a swivel block on a beefy terminal strip. I like the last option, myself. External halyards run free and hoist fast, which is helpful on a spinnaker. Exit sheaves sometimes require a hood below them to prevent the halyard chafing from lateral forces.
You will need at least one mast ring for the pole. Some boats have two at different heights, or one ring on a track so the height can be adjusted. You will need a pole equal to your J dimension.
You will need a topping lift with cleat, and a mast-mounted block (or bullseye fairlead) near your spreaders to lift the pole. You will need a foreguy and cleat, and a block (or turning link) somewhere near the mast base to keep the pole from lifting. These paired controls may or may not require bridles -- other C22 sailors can tell you this. Our SJ21 pole is stout and only 8' long, so the topping lift and foreguy just clip to padeyes at the middle.
For sail controls, you will need lightweight or tapered (but strong) line, either two pieces or one, long continuous piece. Ends will tie to the spinnaker corners with bowlines. Do not use shackles or carabiners because they will smash your skull like a pumpkin. You need strong blocks attached as far aft and far apart as you can can put them -- lashing them to stern cleats is one option. These blocks experience tremendous loading. Some people use ratcheting blocks, but you should not need those. The sheet/afterguy runs from the corners of the sail, thru the aft blocks, then forward to winch and/or cleat.
Mad spi trimmers use twings and stuff. You can forget those for now.
It's nice to have a turtle, wide duffel, or laundry basket to launch and retrieve the chute. It's nice to know what you are doing, but that will come with time. Be aware your C22 will behave like a different boat under spinnaker: PFDs are mandatory, harnesses are advised, and wearing a diaper the first couple times you fly it might save embarrassment. Cheers!