As far as I'm aware, no. I would expect a software package to be a single package of programs such as Microsoft Office. Bundle, on the other hand, I would expect to describe a deal where you buy several pieces of software together, probably for a discounted price.
A software bundle is often used to describe software given away with the purchase of a hardware and is quite often useless or at least not specifically asked for the by the customer.
A software package is not much different to a software program and is often used to make a piece of software sound more impressive or complete. It can also mean several programs sold/given away together.
A software suite is a set of complementary programs sold/made available together or separately, e.g. Microsoft Office, containing the Word, Excel, PowerPoint etc. programs.