Can I have 2 drop down boxes with different conditional logic on the same form?

I am trying to build a form and want 2 separate drop down boxes each with their own conditional logic but I can't seem to do this as when I try to create the conditional logic for the 2nd drop down box it only allows me to use the conditional logic of the first drop down box

Yes, you can. I think you have figured this out already. When setting up a conditional logic, you should see the numbers in the field from the dropdown selections. This would allow you to identify what fields to select in the logic. 

Let us know if you need further assistance.