No. This is not a good branding practice. The font that is used for your logo should be used exclusively for your logo. The reason for this is that you do not want to dilute your logo by using that same font face for every headline and body copy. It stops the logo from being “SPECIAL.”
Look around. Take a look at some of the top recognized consumer brands today. Starbucks. Nike. Apple. Target. The font in their logo is NOT the font that is used in their marketing materials, websites, or packaging. Instead, they choose complementary fonts that become an extension of their branding toolbox.