You most certainly can use one core lamination on a glass backed take down. In certain designs, I've even heard of better performance. Although, longevity may suffer a bit from the single lamination being stressed more from tension/compression. I doubt you'll have to worry about any delamination. But, you may lose a bit of performance from a bit of string follow after a few thousand shots though. Id be sure to use a tried and true core wood!
Some bowyers prefer a single lam, while others prefer seven or more, and everything in between.