You can use a generic QFN breakout board, with drag soldering, assuming it has a hole in the back so you can melt the solder for the exposed pad. It would be hard, though. Not for the feint of heart, shaky of hands, or poorly equipped.
I happen to sell some breakout boards that would be suitable for that... https://www.tindie.com/products/DrAzzy/breakout-boards-for-qfnvqfnmlf-smd-parts/
Do not forget the 0.1uF decoupling cap between Vcc and Gnd, which needs to be as close to the chip as possible.
That said, do you really need to use the tiny no-lead version of the chip? It's not that much smaller than the SOIC-8 package, which is so much easier to solder. (as it happens, I make cute prototyping boards for working with ATtiny x5 in SOIC-8 as well - https://www.tindie.com/products/DrAzzy/attiny85-project-board/