Aye, laddie. But tha' only works if ya got tha' proper configuration in tha dilithiun chamber.
If we build a large, self contained, robotic transporter unit OUTSIDE the ship, and use another one INSIDE the ship, we could transport the ship ahead, then leapfrog the outer unit ahead of the ship's new location...
That would allow us to divert all propulsive power to both the shields and transporters. All we wouold need to do then is periodically vent plasma from the now unused warp coils.
That should give us a large boost over Impulse speeds inside the system's safty-zone for not using warp engines.
Has to safer and cleaner than the Atomic Bomb Drive proposed by NASA.