If you compress something so much that its nuclei want to fuse, it must become very dense. At the core of this compression, density is intense. Unlike a thermon

If you compress something so much that its nuclei want to fuse, it must become very dense. At the core of this compression, density is intense. Unlike a thermonuclear weapon where the compression is transient, there is no release from this nuclear vise. Pressures would radically rise increasing compression even further. Would the gravitational field in the vicinity of the center of this be equally intense? Could black holes on the order of the Planck scale be created? Would such a 'Planck hole' start a chain reaction of gravitational collapse, eventually growing to consume our solar system?