Yes. To get a little more contrast and shadow, you generally need a smaller and/or more directional light source than a large softbox.

Good options:

• move the lights farther back, which can make the light act relatively smaller and slightly harder
• use smaller softboxes
• add eggcrate/grid modifiers to the softboxes for more directionality
• remove the front diffusion panel from the softbox for less diffusion
• try a silver umbrella for a slightly punchier look
• if you want even harder light, a beauty dish is another step in that direction

Since you still want even product lighting, a practical approach is to change just one modifier at a time and compare results. For example, keep one softbox as-is and add a grid or reduce diffusion on the other. That lets you increase shadow definition under the collar without making the whole shirt look harsh.

So your instinct is right: the second look likely uses more directional light, achieved through both modifier choice and light placement.