I think clothing and fashion are something that have evolved over thousands of years, sometimes due to aesthetic, sometimes due to necessity (availability/durability of fabrics etc.) but as we've become more and more homogenised the western business suit has become prevalent all over the world. Over the last few decades we've seen tweaks and refinements of a centuries old idea, but it's a thing that people wear now and it's unlikely to change. It'll just undergo further refinements, possibly as others have said, becoming more minimal. Likewise things like overalls, jeans, t-shirts and cargo pants. These things refinements of centuries old ideas and I can imagine the things we wear in a few centuries won't be far off.
It'll take a seismic shift in culture for westernised fashions to die out and be replaced by togas. It's too prevalent a thing to shift for a start, but also... how do you improve a pair of cargo pants? Why try to reinvent the business suit?
These items of clothing are totally plausible to me as items that will still be common in a few centuries in a recognisable form. I'd hate to see Star Trek resort to sparkly loincloths and flowerpot helmets in an effort to be 'futuristic'.