Dot-completion involves having a living model of the program loaded in memory. You can do this with any language--static languages just partition the program model such that you get a certain phase of interpretation (compilation) past which you have a completed model of all of the code, without yet having seen any of the data.

On the other hand, you can easily dot-complete method calls in a dynamic language's REPL--because there, at runtime, is when and where a dynamic language forms a complete model of the program it can use to do such things.

Now, the real question is why we're still programming dynamic languages in text-editors instead of treating them as congealments of transactionally-replayable interactive REPL transcripts. (Are there any modern examples of programming in this style, anyway? I can only think of ancient ones: Emacs Lisp, Squeak Smalltalk, and the "immediate-command-line" of some Telnet-based simulated-world MOOs.)