Yes you can[1], which is exactly why you don't really want to roll the dice even if you appear okay after the initial infection.
[1] https://epmonthly.com/article/neuropsych-complications-flu-v...
[1] https://epmonthly.com/article/neuropsych-complications-flu-v...
This is hardly a conspiracy theory.
[1] https://www.buzzfeednews.com/article/salvadorhernandez/coron...