Is it possible to design a smaller FPGA on an FPGA?

Question

Since FPGA is a programmable logic circuit, is it possible to create a smaller FPGA on an FPGA?

Answer 1

Short answer: Yes.

Longer answer: Yes, but no one would ever do this other than a training exercise. This would be necessarily slower, and when running FPGA, it was implemented on top. Not that this was not an interesting learning experience, of course. Go nuts!