The Moon and Jupiter will rise together this evening of January 26th. The Moon will rise first, around 20:40HST, followed by Jupiter half an hour later at 21:25HST. Over the course of the night the Moon will slowly approach Jupiter, closing to about 4° by dawn.
The following evening, January 27th, the order will be reversed, with Jupiter rising first at 21:21HST and the Moon rising twenty minutes later at 21:40HST, with about the same separation of 4°.