Can I nail down real hardwood flooring over my existing glued down engineered hardwood flooring?

I have engineered wood flooring glued to a slab on grade sub floor. We want to remove this and install a thin profile (that is rated and acceptable for concrete sub floor installation) hardwood flooring. However, the cost and hle to remove the existing engineered wood flooring is more than the new hardwood itself. Could I simply add an additional layer of plywood on top of the existing engineered hardwood (to get the correct height for nails) and treat this as my sub floor, ready for new installation?