There are many different flavors of autocomplete in vim. One way might be to use SuperTab. This provides a way to use tab-completion at more or less any time. This would enable you to hit Tab after you've partially typed the word to get a completion list. For instance, typing
eatF followed by Tab to expand to
Please Note: these pictures all link to example gifs in action.
Vim has excellent other options. You should read
:h ins-completion to see the variety of built-in completion options. Using vim's Ctrl-XCtrl-O, combined with a python-aware plugin like jedi can give a completion flavor. Jedi can be configured to give documentation on omni-completion (this is what Ctrl-XCtrl-O does). Then documentation for the completion candidates would appear in a split window.
Using similar plugins but different options leads to all sorts of behaviours. It's possible, for instance, to not need to prompt for autocompletion (if that's what you're after). Instead, after you type some number of letters (say, 2 or 3) of a word, a plugin can try to intelligently offer possible completions in a menu.
So the short answer is a yes! But the configuration process can be a bit complicated. I think of it as a step in the long stairway of mastering vim.