Yes—your current setup can be improved, but two front/side umbrellas alone usually won’t make a truly shadowless product shot.

What helps most:

• Increase the distance between the product and the white background so the product’s shadow falls farther behind it or out of view.
• Light the background separately, and expose it bright enough to go nearly pure white without overexposing the product.
• Add a top light above and slightly in front of the subject. This helps fill shadows inside recessed areas that the front lights can’t reach.
• Balance your key and fill better: reduce the stronger light or raise the weaker one to soften shadow contrast.
• Make the light source larger/softer by adding more diffusion, such as white sheets or diffusion material in front of the umbrellas.

In short: move the object farther from the backdrop, soften and balance the front lights, add a dedicated background light, and use an overhead light if the product has depth or interior surfaces.