No, Trump is trying to snowball people into thinking Obama is leaving with a $23trillion debt, but he is not. A diagram on the Congressional Budget Office page Beneath the heading clearly shows my figures for 2016 are $14.1 trillion for 2016 column. The $23trillion is a projection for 2026 projected deficit (aka future debt if it happens).
Go the above page, click on the Read More link, and you will see “CBO’s Baseline Budget Projects” listed in a small diagram with two columns. One for 2016 and next to it for 2026.