Yes, you can. Most Excel based MSA templates were designed for three appraisers, so this would limit you. However, software packages such as Minitab will normally allow more than three appraisers. I just checked with Minitab, and it allowed me to add 23 appraisers before I stopped.
Normally, there is little benefit to using more than three human appraisers provided they were randomly selected. However, if your appraisers are machines, which I inferred from your wording, I would definitely want to include all of them.