That's it, based on the data. The team also acknowledged the difficulties on their Twitter page on May 24. Their only chance of getting into TI is through closed qualifiers. But looking at the current conditions, maybe they only have a small chance anyway.
https://twitter.com/OGesports/status/1396744545635868672With the current standings it does look grim for OG but it can still change since Team Nigma and Team Liquid are at the majors. I know the chance for them to secure an invite is small (Liquid with 19% chance and Nigma with ~5%) but still possible. OG needs to cheer really hard and hope one of them goes on a deep run and reach top 3 once that happens the fight for the qualifiers becomes a bit easier for them.
https://twitter.com/Noxville/status/1396580740083724290