You could off-center for the whole job, or after initial turning of each tier of the tree. Dead center it, rough round. If you need to, you could start turning each tier dead centered, but its not always necessary. Then you start offsetting back and forth, usually from pre-marked points at the top end, although sometimes both ends, to turn each tier of tree at the angles you want. There are some good videos YT showing a few different processes for making trees like this. Some more extreme than others. You don't necessarily even need an off-center chuck either, it can often just be done between centers.
EDIT:
There appears to be some amount of "flourish" in some of the tiers of that tree. That might take a secondary slight adjustment in the off-centered points you are turning at for that tier after the initial tier shape is done, to get the additional flourish. Or you might need to do that with some carving after the fact. I wonder if the one pictured, may have been done with a CNC, that second from the top has some interesting curvatures to it that I'm not sure are 100% lathe-born.
EDIT:
So my own trees were actually called "leaning trees"...they actually were not strait up as this one is. To get a tree strait like this, but with the angles in the rims of each tier, you would probably have to get pretty inventive with how you chuck. Likely requiring some kind of jamb chuking. You would have to get the rotation along angle you want each tier at, which would mean taking the ends of the blank out of centers, and finding some way to clamp between some kind of jambs, likely on either side. I've never actually done that, but thinking about it, it might be a use case for hot glue. Whatever you do, though, just using a set of offset points at the ends of the blank are likely not going to be enough. The angles of the rim of each tier here, are likely to require the top and bottom to be angled entirely out of either center ranges or even a chuck's range. I think it can definitely be done, but, its likely to require getting rather clever with how you chuck it up for each tier. A key challenge, would be avoiding digging into the lower tier's upper regions...that would require some fairly precise centering of the off-kiltered piece, for each tier...