Exporting the weights can be done only by coding a little bit, so Dataiku DSS wouldn't accelerate this task for you
However, your objective seems to be to score using that same model from within another application. If you don't require packaging the weights in that application (i.e. it is not offline), you could use a scoring node, which was created exactly for that usage.
Your external application will just have to query the scoring node API (over the internet, or local network if being online is an issue).