Can file a deduction on paying for Lyft

No.   The costs of commuting to and from work or to and from school are not deductible, whether you drove, took public transportation, used rideshares, or flew  or ferried there.

If you are self-employed (not a W-2 employee) and you are traveling away from home for your business, then the cost of your Lyft ride could be considered a business travel deduction.  

Otherwise, if the Lyft was used to commute to work, then it is not deductible as shared in the answer by xmasbaby0.

@williamsash0150