Can Lyft driving gas mileage tax deductible?

Yes.   As a ride share driver, you are self-employed.   Your business expenses get entered on a Schedule C.  You will be paying self-employment tax for Social Security and Medicare, as well as ordinary income tax.

Tax Tips for Uber, Lyft, Sidecar and other Car Sharing Drivers FAQ

 https://turbotax.intuit.com/tax-tools/tax-tips/Self-Employment-Taxes/Tax-Tips-for-Uber--Lyft--Sidecar-and-other-Car-Sharing-Drivers/INF28820.html 

If you have self-employment income for which you will pay self-employment tax for Social Security and Medicare,  you will need to use online Premium software or any version of the CD/download so that you can prepare a Schedule C for your business expenses.

https://ttlc.intuit.com/questions/2926899-how-does-my-side-job-affect-my-taxes

https://ttlc.intuit.com/turbotax-support/en-us/help-article/form-1099-nec/1099-nec/L5qTsBiSe_US_en_US

https://ttlc.intuit.com/community/self-employed/help/how-do-i-report-income-from-self-employment/00/26653

https://ttlc.intuit.com/community/self-employed/help/what-is-the-self-employment-tax/00/25922

https://ttlc.intuit.com/questions/2902389-why-am-i-paying-self-employment-tax

https://ttlc.intuit.com/questions/1901340-where-do-i-enter-schedule-c

https://ttlc.intuit.com/questions/3398950-what-self-employed-expenses-can-i-deduct

https://blog.turbotax.intuit.com/self-employed/self-employed-tax-deductions-

calculator-2021-2022-50907/

https://ttlc.intuit.com/questions/1901110-do-i-need-to-make-estimated-tax-payments-to-the-irs

If you live in a state with a state income tax, you might need to make estimated payments to your state.

https://turbotax.intuit.com/tax-tools/calculators/self-employed/

Probably not the way you are asking.  If you are self-employed as a ride- share driver, you can deduct your vehicle expenses using either the exact expense method or the standard mileage method.  If you use the standard mileage method, that includes allowances for fuel, repairs, maintenance, insurance, and depreciation (wear and tear).  You can't add gas or anything else (except parking and tolls) when using the standard mileage method.  If you use the exact expense method, you can include fuel along with everything else.

Most people use the standard mileage method because the record keeping is much easier and it usually results in a better recovery unless you have a very expensive new car.  The two methods are described in chapter 4 of publication 463.

https://www.irs.gov/pub/irs-pdf/p463.pdf