Can I have immigrant visas for two countries at the same time?

You can have immigrant visas for two countries. However, it should be noted that you can't apply for immigrant visas from two countries at the same time, because you only have one passport, and you must apply for one country first and then another. I'm not sure about the details. You can go to the immigrant home (domestic visa) and have a look. There are many related questions that can be answered professionally, which will definitely help you. Go and have a look.