Can a federal claim be procedurally barred for failure to object to the object to evidence?

Based on the cases cited by the California courts, it appears that the federal claim was procedurally barred for failure to object to the object to the evidence based on federal grounds to preserve the right to present the same challenge on appeal. See People v. Ashmus, 54 Cal. 3d 932, 972 n.10 (1991) (The general rule is "that questions relating to the admissibility of evidence will not be reviewed on appeal in the absence of a specific and timely objection in the trial court on the ground sought to be urged on appeal.")