Not Motorola (or Freescale). After the 68060 they dumped the mc68k architecture outside the embedded market (68300 line) for the 88000 RISC architecture. After 2-ish generations of 88k, they dumped it for PPC.

There are numerous FPGA implementations of various folks ideas of what a post-060 mc68k might look like. There's also a 68070 from Philips that's a 68000+simple MMU+stuff; definitely not 060 class.

No, but there is a third party FPGA core available which is called 68080, it's used in a modern line of Amiga accelerators and clones.