Hell no!
Its main constituent is the dreaded Hydrogen Dioxide!
The exhaust from the main engines is almost purely Hydrogen Dioxide, but the same is not true of the that from the SRBs. They put out a nasty mix of stuff that you wouldn't want to breath, even after it had cooled and been diluted a bit.
"The propellant mixture in each SRB motor consists of an (Click link for more info and facts about ammonium perchlorate) ammonium perchlorate ( (A substance that oxidizes another substance) oxidizer, 69.6 percent by weight), (A silvery ductile metallic element found primarily in bauxite) aluminum ( (A substance that can be consumed to produce energy) fuel, 16 percent), (Click link for more info and facts about iron oxide) iron oxide (a ((chemistry) a substance that initiates or accelerates a chemical reaction without itself being affected) catalyst, 0.4 percent), a (A naturally occurring or synthetic compound consisting of large molecules made up of a linked series of repeated simple monomers) polymer (a binder that holds the mixture together, 12.04 percent), and an (A thermosetting resin; used chiefly in strong adhesives and coatings and laminates) epoxy curing agent (1.96 percent).
"The propellant is an 11-point ((astronomy) a celestial body of hot gases that radiates energy derived from thermonuclear reactions in the interior) star-shaped perforation in the forward motor segment and a double-truncated- (Cone-shaped mass of ovule- or spore-bearing scales or bracts) cone perforation in each of the aft segments and aft closure.
"This configuration provides high thrust at ignition and then reduces the thrust by approximately a third 50 seconds after lift-off to prevent overstressing the vehicle during maximum dynamic pressure.
http://www.absoluteastronomy.com/encyclopedia/s/sp/space_shuttle_solid_rocket_booster.htm