You can not. You can choose whether say your middle name is there or not but at minimum your first and last name are there. You’ll also be in society databases. Name changes from marriage are still clunky and many women remain under their “maiden” name for publications though now with orcid all your stuff getting linked together is a lot easier.
Certain pay for publish journals you could probably get away with a pseudonym and fake credentials but then you’re not doing good science.
I mean they get your name and place of work. The university will have a website with your name and picture (though they don’t update the pic often if ever).
As a researcher you will for better or worse also need social media accounts in order to network and be aware of non-standard funding opportunities. This at minimum is LinkedIn but Facebook/Twitter/Instagram are also used.
When you collaborate as the not main person you also have to be willing to use the tools/software the main person is using. Whether that is Dropbox, Microsoft office, Slack, or Google drive. Sometimes all of them for different things. I control what I can but simply have to let the rest go for my own sanity (and employability).