No. You probably will never find a setup where the arrow is past center, or need to be past center, to achieve good arrow flight, using fingers for a release with a traditional setup.
The string travels in a small wave pattern upon release, and one reason why string height matters. The arrow leaving the string at the point where the string alignment is perfect will fly best, given the correct spine (stiffness) in the arrow, nocking point, etc.
Most people will find it beneficial to have the arrow left of center (for RH), for good arrow flight. That does not mean, dead center, will not fly perfectly, but it will help to be using a release aid.