I’d say no. Your fooling yourself if you think you can. The best you can do is make it harder, but that is only true compared to computing power. Problems that were hard, are now possible because computing power has increased.
Any one profile could give enough to out you. A textual analysis can tie separate text posted by different accounts to the same person. (Varying degrees of accuracy for this. If anyone would do parse all Lemmy comments to do this is separate issue.)
In short, don’t post anything that might compromise you. But how fruitful are conversations if you’re always hiding anything that might out you? Stick to only non personal stuff? Information about local shops, movies, etc etc can all narrow down your location. But even with that, narrowing down to a town with 50 people in it, is different to a town with 1 million people.
It isn’t only what you post. Someone else can also out you. Someone who knows you, or someone that you don’t know. Your PC can be hacked, etc etc. The options go on and on.
Define what your risk is. Define who your adversaries are. Then plan how to operate with acceptable risk tolerance.