So, they didn't say you ARE more likely, but they didn't deny it either...  not sure I would give this a hard "NO".   (Nice touch: Moderna is one of their sources in the video.)

Headline: No, the CDC didn’t say a new COVID strain is more contagious among vaccinated people than unvaccinated people

TLDR:  They say if currently vaxxed, it won't do much for the new strain... but you should still get vaxxed.  More poiso... medicine coming soon for this year's strain.

https://www.fox43.com/article/news/verify/vaccines-verify/covid-ba286-omicron-variant-strain-not-more-contagious-vaccinated-people-than-unvaccinated/536-362cc0b8-590a-4eb8-9e0f-91158994c906