(Edited)
I assume that you are asking if your wife could change her Status of Residence from "Temporary Visitor" (which includes Tourists) to one that of a "Dependent".
The answer for that is "Yes, you can." However, since it takes about 1-3 months to process her application, she will needmay want to getapply also for a Certificate of Eligibility (CoE) that is issued withinwhen she makes the validity ofapplication for the change. This is because her "Temporary Visitor" Status of Residence when she makes the applicationmay expire while waiting for the change. (Whethere or not it gets to be approved though depends on the Immigration Officials.)
See related post and links below.