Very probable. At one point in the manga Unohana refers to Hantaro as member of a squad under 4th Division, so presumably there's already something along these lines in place. We also know (from the description of Kenpachi's ascension to Captaincy) that each Division has at least 200 members, most likely more, even in the present day.
Keigo, however, is by this point a 'seated' officer, and thus introduces himself as such (it's been two thousand years, I think he's got what it takes to make it... eventually.)--
"I give you the beautiful... the talented... the tirelessly atomic-powered...
R!
DOROTHY!
WAYNERIGHT!
--
Sucrose Octanitrate.
Proof positive that with sufficient motivation, you can make anything explode.
Keigo, however, is by this point a 'seated' officer, and thus introduces himself as such (it's been two thousand years, I think he's got what it takes to make it... eventually.)--
"I give you the beautiful... the talented... the tirelessly atomic-powered...
R!
DOROTHY!
WAYNERIGHT!
--
Sucrose Octanitrate.
Proof positive that with sufficient motivation, you can make anything explode.