Hello there

Yes, you can definitely do your MSc degree after completing your B.Sc Honours and even after completing your B.Sc in general. You are eligible in both the cases to do Master in science. In case of Bsc general degree you are having an edge over them as compared to the Honours course that is you can pursue your MSc in any of the subject which you have studied in your bachelors of your choice.

I hope it helps you!

Good luck!