Yes.

Need a longer answer?  On the application form, choose sole proprietorship and for tax id use social security number.  Estimate income.  It doesn’t have to be a lot.  Although your risk is assessed personally in relation to granting a business card, one benefit of these cards is they don’t actually show up on your personal credit score, but a separate score for the business.

Sell things on ebay?  Craig’s list?  Repair things?  Do some odd jobs and services here and there?  Etc etc.?  Banks are very lenient with the definition of a business.  This cat probably qualifies.  No reason to shy away from them when they have attractive offers and features.