Not off-the-shelf, you need some code to do it.
There is a plugin that can do it - the Jira Toolkit plugin contains an "auto transition" listener. You can configure that to listen for "work logged" when issue is in status "open", and when that happens, trigger the "in progress" transition. You may need to be careful with the transition - make sure there are no conditions/validators that might block the listener from doing this for you, but it does work. (I've successfully set this up a couple of times)
You must be a registered user to add a comment. If you've already registered, sign in. Otherwise, register and sign in.