Yes. There are a few shinigami captain positions open. 5, 8, 9, and 12 if I recall. But I know someone who is in the middle of making a profile for 8th so you might want to scratch that off.
There are 7 Espada spots open though there are two arrancar waiting for approval who will most likely become espada.
There are 8 Elite Vizard spots open.
All 10 Elite super human spots.
8? Bount spots I think.
A junk load of vice-captain spots.
So yeah, there are a ton of open spots