If you mean a different weight then you're not very wise. Use the exact weight oil that Honda recommends. If you are referring to the brand of oil, you do not have to use Honda oil. In fact Honda does not even make oil their oil is refined by another company. You can use any major brand oil of your choice, as long as it is the correct weight.
The 2010 Honda Accord has double overhead cam (DOHC).
The 2014 Honda Accord has double overhead cam (DOHC).
The 2006 Honda Accord has double overhead cam (DOHC).
The 2005 Honda Accord has double overhead cam (DOHC).
The 2009 Honda Accord has double overhead cam (DOHC).
The 2003 Honda Accord has double overhead cam (DOHC).
The 2002 Honda Accord has single overhead cam (SOHC).
The 2011 Honda Accord has double overhead cam (DOHC).
The 2004 Honda Accord has double overhead cam (DOHC).
The 2012 Honda Accord has double overhead cam (DOHC).
The 2013 Honda Accord has double overhead cam (DOHC).
The 2001 Honda Accord has single overhead cam (SOHC).