No, this has nothing to do with Trump.
The USA has been in “unrestrained borrowing” because it’s been funding itself with continuing resolutions rather than a budget since 2009. That means that the extra trillion dollars in 2009 “temporary” stimulus has been added to the debt every year since on top of the prior trajectory. This is easily seen if you look at the relevant graphs on FRED.
That said, government borrowing or money creation doesn’t directly cause inflation either. Sad to say, the inflation we’re seeing appears to be as much on the production and importing side as it is on the demand side.