Well...it's fun to discuss. The Babbage engine (mark 2? Someone jump in if I get it wrong...

would have had a memory, registers, and a few other things that would have been the distant ancestor of the modern computer.
Long before this, the Jaquard (sp?) looms had punch-card equivalents that allowed for patterned cloth at reasonable prices. Something like this could have been done.
I think the main difference would have been precision; the original steam engine had a 1/8th" clearance on the sides of the cylinder! I believe Ramsden (sp? the guy who made the telescopic eyepiece) came up with a method of cutting with true precision, so it might have been done.
IIRC - the Titanic, in addition to having questionable rivets (they're still asking questions today...

also had watertight bulkheads that didn't go all the way up, so once the first one spilled over, they gradually all did.
But, it might have been possible to do some basic controls on mechanical devices, etc.