Is the chance to get into the Beta permanently closed?

Don't take this as gospel, but as far as I know you can still get into Beta 2.  My friend pre-ordered last weekend and was still able to join.  I haven't seen any announcements saying it's closed.

Keep in mind that even if Beta 2 were closed, there's still Beta 3 coming up

As recent as 2 days ago it was still open.  You can email stardock sales or go to demigod irc during work hours and ask the devs if the beta is still open.  I tried asking for you but it was too late:

6:11 PM <Trigeminal> any devs know if the beta is
still open to new purchases?
6:11 PM <Trigeminal> Kryo
6:11 PM <Trigeminal> mittens
6:11 PM <Trigeminal> cari_elf
6:11 PM <Trigeminal> ???
6:11 PM <kryo> it was just the other day
6:11 PM <Trigeminal> so has it closed?
6:12 PM <kryo> couldn't say, the people who would know have
gone home by now
6:12 PM <Trigeminal> k

Like I said go to irc or email sales.  Hope to see you soon.

6:23 PM <mittens> You're probably set if you buy it now
6:23 PM <mittens> (It would get you into the beta).
6:23 PM <mittens> If not, your card probably won't be charged until the next beta anyway.

So the answer is probably, but to be sure check tomorrow when people are around or email sales.

Yeah, the new beta build will be out in the next few days.  A friend & myself got in 2 days ago, but even if you cant now - you definitely will be able to with the new build next week.

Are you sure about that, Angstypanda?  Usually just the release of major updates (Beta 1, Beta 2, Beta 3, etc) lets new people into the beta.  "Minor" updates like Beta 2B (that is the update next week, I believe) usually don't count.

I pre ordered a few days after Beta 2 was released and I still got in.

 Thanks for all the help guys. Judging off whats been said Im gonna go for It and pre order, Im gonna get the game either way and I might as well buy it now before I forget