Not unless you subscribe to the Cloud Subscription and pay b y the month. Otherwise, perpetual licenses are strictly platform specific.
You would need to buy separate licenses for Windows and for Macintosh. The serial numbers (and of course the binaries) are platform specific.
Adobe changed that for the monthly subscription mode, where you pay Adobe by the month for the rest of your life. Nice, huh?
...yeah, it sucks. Bad business, if you ask me. This is how to create a pirate. ;9)