I'm not certain about the exact intricacies of the Schedule A hiring authority so I may be corrected by someone later - but my understanding is that this would not be possible to be rehired under the same hiring authority. People have joked about doing both a Schedule A and an Intermittent Consultant[0], which would allow you to do 4 years (2x2) - as we've just hit our 1st birthday, no one has tried it yet!

[0] There are some slight differences in how pay, retirement, and some other benefits are distributed, so they are mostly but not entirely interchangeable.