Short answer: No - the device does not use SSD technology; it is an external HDD (2.5" hard drive).
Explanation: The technical specifications list the model as a portable 2.5" hard drive / HDD with USB-C (USB 3.2 Gen 1) interface and list capacity and form factor, not SSD as storage type. Dealer data sheets and product specifications explicitly refer to the model as an HDD or external hard drive (manufacturer number STLP2000400).
If you are looking for an SSD variant: LaCie offers separate portable SSD models (different product line) that are labelled as SSD; I am not completely sure if this information covers all variants because the source is primarily dealer and product data sheets.