No, it will not be ok. E. deglupta is frost intolerant at any age/size. There is some evidence that it may tolerate very light frost for short periods but anything close to 32 degrees is probably going to be the end of it.

Best bet-look at the many stunning pics of this tree on the web!

+oM

Even in extreme southern California they do not look as at home as they do in Hawaii. If you want to grow this back there you will probably have to move to southern Florida.

There's one at the LA Arboretum that looks good, and some near UCLA and in the UCLA Botanic Garden. They are tropical rather than xeric and need quite a lot of water--more water than our climate can usually provide.