gica78r
No, we don't have such functionality available at this time. You'd need to write your own script/plugin to push the logs externally.
I will say that this is already on our Feature Request list for possible future development, so please stay tuned!
Note:
We do send some alerts to the Admin Email however it does not send everything so the best option would be to write your own script/plugin and send the desired logs.
Cheers.