Maybe, but also rankings change every year and aren't really that relevant for most purposes...
If you want to go into the working world, then UK employers don't care about rankings. The only employers who might care about such things are investment banks and management consulting roles, which instead have their own lists of target unis (notably I think some do consider a SOAS masters as target/semi target, but that might only apply to the business school courses). For anything else, it doesn't matter .If you would be planning to work internationally then rankings or generic prestige/"brand name" may be more relevant - in which case SOAS is probably better known outside of the UK in general.
For academia, to go onto a PhD, it really depends which is strongest for your specific niche field. There could be the best researcher in the world in a particular area at one or the other, and if that is what you want to work on, then you should aim to go to the uni they are at and try and have them supervise your thesis/dissertation!
Something else to consider is SOAS offers a lot of unique language options, including at the postgrad level, so if your proposed research or professional field would benefit from/requires an Asian/African/Middle Eastern language it's definitely worth considering SOAS for that. However do be aware a lot of the more "niche" languages have been scaled back a lot at SOAS to only one or two levels (although if you're doing a 1 or 2 year masters course this probably won't affect you, compared to a 3 year undergraduate course).