Yes, but so far, Obama has beat them all in terms of increasing the debt in only 4 years....gonna be interesting to see him set the bar even HIGHER in the next four....
Well, lets see. The last year Bush was in office (Jan. 20, 2008 to Jan. 19 2009) he packed on $1.435 trillion dollars in debt due to the colossal economic crash he presided over. This was the first trillion dollar deficit in U.S. history, and even after the adjusting for inflation, was by far the largest deficit in U.S. history up to that time (twice the peak deficit of WWII), and he left office with the U.S running regular monthly deficits in excess of $200 billion.
Currently the monthly deficit (from Oct. 31 to today) is just $45.2 billion (check the link below to verify this for yourself), so I'm guessing that without another similar huge deficit assist from the Republicans like he got from Bush, the answer is "no".
Check out how the debt was incurred on a day by day basis: http://www.treasurydirect.gov/NP/BPDLogin?application=np. The closer you examine how the deficit exploded under Bush, and how it turned around under Obama, the worse the Republican record looks.
NB: since there is an unavoidable lag between any action or policy a President takes or proposes and its effect on the Federal budget or economy it is not reasonable to attribute economic performance and deficits for any newly seated President for some period of time after they take office, the duration of this period is up for debate, but this is an indisputable fact. I am willing, just for the sake of this one post to play the unserious political charade of pretending Obama "caused" the deficit incurred on Jan. 20, 2008 - the day he took office. In fact of course the Bush Crash underlies all of the very high (but steadily improving) deficits we have seen, just as the Hoover Depression under-laid the poor (but improving) economic performance for the remainder of the 1930s. Every month you shift the "window of responsibility" forward from Inauguration Day, the worse Bush looks and the better Obama looks.