Can I issue payments from Quickbooks Online (QBO) that will process through my bank account?

QuickBooks Bill Pay Service is available only in QuickBooks Desktop versions (QBDT 2013-2015). That feature is currently not available in QuickBooks Online (QBO).

Send them your feedback if you like this feature request > Gear (upper right corner) > your company > FEEDBACK.

And ask for Bill payment services offered through Intuit QuickBooks