The short answer, yes.
The amount of cash you receive is determined by several factors. These factors include your home's current appraised value, any pre-existing housing debt, your creditworthiness, and how you use the property.
Remember, though, most equity sharing companies have low minimum credit score requirements, so homeowners with poor credit are eligible. So, while your credit can impact the amount of cash you receive, that doesn't mean you won't still be able to receive a large cash investment.