What type of blinds are these?
Regardless, it's unlikely you'll be able to clip the new blinds into the clips for the roman shades you want to remove. Luckily, the clips are probably easily removed with a screwdriver, and you can just attach the new blinds with their own clips the same way. When you move out, take the new blinds off, patch the screw holes with spackle, and put the original roman shades back on.