The existence of the Planck length does not imply quantized spacetime, which is still very much an open question in the field of physics.  To the best of my knowledge most models still posit a continuous spacetime.  cf. <a href="https:&#x2F;&#x2F;www.quora.com&#x2F;Is-time-discrete-or-continuous" rel="nofollow">https:&#x2F;&#x2F;www.quora.com&#x2F;Is-time-discrete-or-continuous</a>