When taking pictures of products, you will have to work with artificial lights. Try to get a pair of monoliths. But if your budget is tight, start with speedlite until you start earning money and have something extra to invest in equipment. As president of a fairly large product photography company, I have interviewed hundreds of photographers applying to be product photographers at POW and the biggest problem with their requests is that they lack basic technical knowledge of photography.
This is a great way to enter the photography industry and start earning money with your skills with a product photography business. Nowadays, I see that people are hired to create content with photography as one of many skills and not as their main job. In conclusion, I think the real question isn't whether you can become a product photographer, but how far you're willing to go to become a product photographer. If you think your product photography is top-notch, you can apply to a premium securities agency like Offset, Shutterstock's premium division.
Taking photographs of products requires far more technical photography skills than other types of photography. The first step in starting a product photography business is to create an excellent portfolio of photos that you can use to promote your skills.