To answer your question, no there isn’t a way. (Unless that is something a plugin could control.)
To add to what holroy suggested, you can also triple-click a line. On Mac, BetterTouchTool or other tools might be able to customize that behaviour.
Also Cmd-<- only goes to the start of the wrapped line. Ctrl-A (on Mac) goes to the start of the entire line.
There is an open feature request here which may have other workarounds or suggestions. Hotkey for select curent line - #4 by malecjan
It’s an old post, but it sounds like QuickAdd plugin added a command to select a line. I never tried that.