You
can remove that. You need penetrating fluid like
Liquid Wrench,
Kroil, or
PB Blaster, a small Mapp gas torch, an extractor of some type—homemade or manufactured, an extension magnet, a shop vac with a flexible wand extension to clean out the cylinder, a borescope to inspect the piston and cylinder, and patience. This is a slow and methodical process. There a lot of people out there who have removed broken plugs, successfully cleaned the piston and the bore above the piston without removing the cylinder head, and ridden away, eventually.
This is the degree of patience needed to succeed. You've got it easy because you don't need to contort to work like this guy. Watch the
entire video.
My method over the last few decades looks a lot like his—using a rectangular extractor before breaking an easy-out; pouring on the penetrant; cooling the penetrant; repeating the heating and cooling cycles for an extended period; using force and being aware of when to stop before something breaks.
I like how he uses heat and then refrigerant in cycles. I just use the penetrant to cool but it makes for a lot of smoke and it surely is a health hazard in California. I suggest you get Mapp gas—it's hotter than propane and almost as effective as acetylene without being hellacious—and a couple of cans of Freeze Off for the cooling to lessen the smokey effect of applying penetrant, but I've found spraying penetrant on a hot threaded joint aids penetration of fluid as the joint cools. Heat and volatile chemicals can be fatal so be aware; you're about to enter the danger zone.
After the extraction, he used the engine to blow out the debris after using the magnet and vacuum. Disconnect the primary ignition wire before you do that to prevent starting. His method took a day of repetition—subtract the failed extraction tools from that time.
There is a wide selection of extraction videos. Select from these two lists.
1 2 A lot depends on your patience, your attention to detail and your willingness to take risk. Just don't let your technique become chaotic.