I wonder if it is possible to use SPSS to perform classification and regression trees, with the objective of performing a subtyping analysis. If this is the case, which command do I have to use?
Yes, you can perform Chaid and Cart analysis with IBM_SPSS.
If you see chapter 7 in my book "Análise categórica, Árvores de Decisão e Análise de Conteúdo em Ciências Sociais e da Saúde com o SPSS", you can find aplications of it and all the comands you need, beginning with: Analyze Classify Tree....