Think of it this way... The amount of muscle people put on through caloric surpluses are typically the same, along with hormone profiles, so despite size differences, they put on muscle at the same/similar rate.
So where a short person and a tall person may both add 5 lbs in a month, one frame spreads it out more. It's hard to find a tall natural with aesthetically full looking long arms, despite real size.
Which leads me to my question OP: why do you want to weigh as much as someone with a larger frame? Your levers, aka limbs, are shorter which (when factoring real equations given in basic physics courses in college) suggest smaller frames are actually at a head start in terms of not only strength, but aesthetics as well.
Can you get as big as someone with a larger frame? No. Your frame is smaller , and you can't make it bigger with training. But your genetic potential and that of the larger frame have RELATIVELY equal genetic POTENTIAL. Which means you can reach yours easier, and your actually better off.
Cheers