Answer and Explanation:
Tomatoes have two ways of growing. They can either grow from a seed, or grow from clippings. There are also two ways a tomato's plant root system can look like.
Fibrous Root system: This formation of roots grows when you use a clipping from another tomato plant. From there and as it grows, it will have a fibrous root system.
Taproot (Root) system: This formation of roots grows when you plant seed in the ground. From there on, it grows with a taproot system.
To answer your question, yes. Depending on how the plant is grown, depends on the outcome and product of how the plant's root system will be.
I hope this helps.