Always is a long time, so probably not. But there are no immediate plans to get rid of invites.
We've always wanted to make sure that Careers has high quality programmers and companies. Way back in the day, we thought we'd do that by making developers pay to list their profile. That turned out to be way too high a bar, and very few people created profiles. So we switched to an invite system that requires either:
1) Demonstrate that you're a programmer, or
2) Get someone who we already trust to vouch for you
That's the existing invite system in a nutshell. You can demonstrate your programmer-ness via Stack Overflow, GitHub, Codeplex, or by requesting an invite with some links to your blog or other relevant sites. Or, find someone you know who already has a profile and get them to invite you.
The invite system is not simply a controlled beta to keep the numbers down. It's a very basic quality filter. It will be replaced, if it is eventually replaced, with something that we're convinced will be a better quality filter than invitations.