Maybe with some European concoction, but not with the vaccines authorized for use in the US. There have been a
number of people mysteriously dying soon after contracting COVID-19, though.
Here's what we know about deaths following COVID-19 vaccination in the US:
Even if they called every single death wrong, you would still have a 99.99833% chance of surviving a COVID vaccine. This is better than the
COVID-19 survival rate, which ranges from 99.95% (18-49) to 91% (65+). Vaccination also prevents severe illness which, even if it does not result in death, can be very unpleasant and can create all sorts of physical, economic, and social issues as you are removed from society for a couple weeks.
And I don't think they called all 2,794 deaths wrong. The vaccines so far have been disproportionately adminstered to the elderly and those with serious health conditions. Naturally, a lot of those people are going to die, just because they're old and/or sick.