We can say "invade someone's privacy", but can the verb "intrude" be used in the same way without a preposition? As in,
Don't intrude my privacy.
Or should it be:
Don't intrude into my privacy.
"Intrude" is an intransitive verb so needs the preposition following. I've never seen "intrude" used with any preposition other than "on" but that is a stylistic matter, I think.
"Invade" is transitive and should not take the preposition.
There may be instances where transitive use is possible, but normally a preposition is obligatory after intrude.