The short answer: no, it's not possible. I had a nice long post almost ready to go explaining all the ifs, ands, and buts of turbocharging a small 2 stroke engine but it was starting to get winded so I scrapped it.
Essentially it was this: you can try and you might probably succeed, but the end result will be finicky, hard to start, and blow crank seals every 15 minutes. On top of all that it'll cost you many, many thousands of dollars and hundreds of hours of design work because there's no commercially available turbocharger small enough for a 66cc engine to spool.