Yep.
There are 150 people on our floor, all open plan. The partitions are only 1m high. It's not a problem. Some people cope fine without even needing headphones. I probably wear headphones 50% of the time. It's relatively quiet but I've learnt to zone out of the background noises.
Likewise I've worked from home, worked in cramped "5 people to 2 desks" conditions, in vast cube farms in the US (with 8ft high cube walls) with 400 people per area. All have their pros and cons. Distractions come in all forms, IM software, street noise, email notifications, people having conversations right next to your desk, other 'phones ringing, etc.
You just learn to adapt to what you've got and cope with it.