Keep in mind you will very likely not be authorized to overload first semester Plebe year (i.e. validations can slide next courses in sequence, but not able to add additional courseload).
Performance anywhere outside of USNA does not guarantee success at USNA. Whatever you want to do, you will will have to cram into 3.5 years.
To recap, you want to dual-major chemistry with biology course requirements and an engineering major, and do a research program like Trident Scholars on the side--missed that the first read-through.
I won't say it's definitely impossible, but it probably is. Even if it is, Commandant and Academic Dean will need some serious convincing, and that'll probably be after you ace first semester Plebe year. And then your plan will be to drown yourself in academic work, forget about the other ECAs, PRODEV, or leadership opportunities within the Brigade.
Also, USNA is great and all, but if you want to do research, USNA is not the place. The research you do will mostly be for your capstone project. Trident Scholars will tackle something more substantial, but it's not comparable to the opportunities available at a real research university (which USNA is not).