Not exactly. WHALESHARE tokens are only needed to create accounts during the early access pre-launch period, and sharedrop claim period.  People have been earning them in contests and community support initiatives, but yes you can get them on the DEX.  

There will also be an initiative coming up after main launch (Sept 1) to reward people the 1 WHALESHARE needed to claim the sharedrop before it ends on Sept 15th.