Do caltrop penalties stack?

As an action, caltrops can be spread to cover a 5-foot-square area:

Any creature that enters the area must succeed on a DC 15 Dexterity saving throw or stop moving and take 1 piercing damage. Until the creature regains at least 1 hit point, its walking speed is reduced by 10 feet.

If a creature moves through several sets of caltrops, can they suffer this speed reduction multiple times?