You could use imap to map any key in insert mode to one of the cursor keys. Like so:
imap h <Left>
Now h works like in normal mode, moving the cursor. (Mapping h in this way is obviously a bad choice)
Having said that I do not think the standard way of moving around in text using VIM is "not productive". There are lots of very powerful ways of traversing the text in normal mode (like using w and b, or / and ?, or f and F, etc.)