Can someone have all the symptoms of bladder cancer except for blood?

Not likely: Blood in urine is a constant and early finding. Urine may not be grossly bloody, but there would blood cells seen on microscopic examination.

Yes: It is possible to have symptoms truly attributable to bladder cancer without *seeing* blood in the urine (hematuria), though perhaps more uncommon to have such symptoms without at least microscopically detectable blood present. Early forms of bladder cancer which may cause symptoms (e.g., urgency, pain with urination, frequency) may not cause detectable bleeding but this would be uncommon.