No. The FMLA makes it unlawful for an employer to count an employee's work days missed on FMLA leave under the employer's "no fault" attendance policy.
The rule is basically this: "An employer may not consider an employee’s use of FMLA leave as a negative factor in an employment action." Hite v. Vermeer Mfg. Co., 446 F.3d 858, 865 (8th Cir. 2006).