No, absolutely not, that is the wrong weight oil for your Civic. Use 5w30 weight oil. You can use a full synthetic but use the correct weight if you want this engine to last.
The horsepower in a Honda JDM H22A engine is between 185 and 220. This is the type of engine used in Honda cars that is often used in popular street racing.
The recommended engine oil for the 13 horsepower Honda engine is Honda Genuine oil with the Starburst designation. The weight of oil varies with your location and the ambient temperatures but is generally 10w50 in warmer climates.
The 2003 Honda Insight's engine produces 73 hp @ 5700 rpm.
The 2005 Honda Pilot's engine produces 255 hp @ 5600 rpm.
The 2007 Honda Pilot's engine produces 244 hp @ 5750 rpm.
The 2005 Honda Civic's engine produces 115 hp @ 6100 rpm.
The 2013 Honda Accord's engine produces 185 hp @ 6400 rpm.
The 2012 Honda Accord's engine produces 177 hp @ 6500 rpm.
The 2004 Honda Insight's engine produces 73 hp @ 5700 rpm.
The 2012 Honda Ridgeline's engine produces 250 hp @ 5700 rpm.
The 2013 Honda Ridgeline's engine produces 250 hp @ 5700 rpm.
The 2008 Honda Ridgeline's engine produces 247 hp @ 5750 rpm.