No, Catholics can take the Vaccine, this is just obfuscated scarecrow presentations about Catholic teaching regarding the use of the covid Vaccine.
The Church has already stated it is ok to use the Vaccine:
https://www.immunize.org/talking-about-vaccines/vaticandocument.htm
From USCCB.org there is a pdf of the memoto US Bishops regarding the use of Covid Vaccine.
https://www.usccb.org/resources/memo-bishops-vaccines-covid-19
Here’s a magazine article explaining the USCCB memo:
https://www.americamagazine.org/politics-society/2020/11/23/misinformation-us-bishops-catholics-covid-vaccine-abortion
If you as a Catholic want to find out what you should NOT DO (in an ethical sense), follow the recommendations of USCCB on what to DO. Works every time.
Now I understand your faulty logic.