Without knowing which product you are specifically using it hard to say. I would need more details, but if the service you are using through PayPal supports soft descriptors or level II/III data being passed over in the API request that you would be able to do this.
If you are using PayPal's Website Payments Pro, you can find information on SOFTDESCRIPTOR throughout the Developers Guide. The first reference in on page 28.
If you are using Payflow, you would want to also look at softdescriptors and Level II and III data in the Payflow Developers Guide. This will also depend on if your processor supports it.