After reading into the matter, I guess you're right about Trump. However, Obama wasn't responsible either, so you should probably read a bit more about it, too.
Either way, the debt has fallen something like $102 billion since Trump took office, and according to sources, it's because they've frozen spending at the debt cap. We're yet to see if he pulls an increase in spending next year as compared to Obama who set all the records on overspending and broke them again.
Obama spending policies
You know what I'd like to know? How it is that Trump's first military endeavor was planned by Obama. Don't you think it's strange that Obama had a "boots on the ground" mission all setup for a couple of months into the next presidency?
You remember the mission. It's the one that killed 24 civilians for intel?