I agree with MikeG re copper - like ali, it's soft enough, and provided you stick to the usual rule of at least 3 teeth always in contact, fine for the odd one-off job.
BUT as already said by someone else, cleaning all the swarf off the tyres and out of the machine casing, AND the fact that ali has a nasty tendency to sometimes "melt" tiny bits of itself onto the blade, personally I'd find cleaning the band saw up afterwards a real PITA. As already said by someone, cutting steel or any other metal which required a cutting lubricant is IMO a real NO NO - cleaning up afterwards again.
But if it's for the odd one-off job, and the material is soft, then why not? My answer to that would be that unless you've got acres of stuff to cut (in which case you'd be better off buying the correct tool for the job, just like professional fabrication shops do) then there are many methods of cutting soft metals by hand which are just as quick and effective - and without possibly "filling" your band saw up with metal swarf, etc, and at least maybe "damaging" the tyres!