So let's ignore the idiocy of "Zebes has 960 times earth's gravity".
According to the official Super Metroid guide, Zebes's gravity is actually about 1.26 times Earth's gravity-heavier than Earth, yeah, but not by that much.
Now, let's ignore a whole lot of factors that can push this into Samus's favor extremely hard. Let's ignore that she's still a teen, and thus doesn't have the muscular strength she'd have as an adult. Let's ignore the 26% increase in gravity compared to Earth's. Let's ignore weight entirely. Finally, let's round up the peak of human capability and round down Samus's own feats.
The world record standing jump is about 67 inches, or 1.7 meters. Samus's own jump is hard to define, but let's be pessimistic and say she jumped 40 feet, or about 12.2 meters. Just by simple division, ignoring countless factors to get the lowest possible value for Samus's strength, she could be said to be around...seven times peak human capability, at least in leg strength. And probably in arm strength too, because later in the manga her fist carves right on through a machine (while angry) like its nothing.
We could easily estimate this upwards a couple of multiples-eight, nine, or even ten-times stronger than peak human capability. We're not considering her juvenile status, the increased weight of gravity, or anything. It's not the insanity of what would result if we were judging a Zebes that is 960 times Earth's gravity, but it's enough to demonstrate that-at least to normal opponents-Samus is anything but helpless without her suit. She's not going to be blocking plasma blasts with her bare skin or fighting off armies of Space Pirates with nothing but per Paralyzer, but she could absolutely tear apart most mundane enemies with her fists and (shapely) legs alone.