No. Qualified transportation reimbursements for bicycle expenses was eliminated in 2013. See IRS Letter Number 2013-0032. “Under section Internal Revenue Service Code 132(f)(1)(B), a qualified transportation fringe includes any transit pass. Under section 132(f)(5)(A), a “transit pass” is defined as any pass, token, fare card, voucher, or similar item (including an item exchangeable for fare media) that entitles a person to transportation on mass transit facilities (emphasis added) whether or not publicly owned. A bike share program is not a mass transit facility.”
Only work-related eligible expenses can be reimbursed under the commuter benefits plan. These expenses are defined by Internal Revenue Code Section 132.