It's possible if the Line6 Timecore has a pulse or sync output of some kind, or can be made to have one (like an LED that flashes at the delay rate, for example). If you've got something like that, you can feed that to the TAPLFO pedals and they'll sync up to the incoming pulses. You can even run them at different multiples of the delay rate (x0.5, x1.5, x2, etc) with the Multiplier CV.
HTH,
Tom