No. The Desktop program can only be installed on a full Windows or Mac computer not a mobile device. You can use the Online version and there is a mobile app which is just a portal into online.
Turbo Tax Mobile Apps
https://turbotax.intuit.com/personal-taxes/mobile/
Oh I missed you said for 2022.
Sorry it's too,late to start a 2022 or prior online return or use the mobile app, either on Turbo Tax or the IRS. And too late to efile 2022.
If you need to start 2022 or prior you can buy the Desktop download here,
TurboTax 2022 Prior Year Tax Prep - File Past Years' Taxes
You will need a full Windows or Mac to install it on.
If you have a simple return and want to file for free you can fill out the forms by hand. Here are some basic forms.....
Here is the 2022 1040 return
https://www.irs.gov/pub/irs-prior/f1040--2022.pdf
or if you want bigger type use 1040SR for Seniors,
https://www.irs.gov/pub/irs-prior/f1040s--2022.pdf
2022 1040 Instructions
https://www.irs.gov/pub/irs-prior/i1040gi--2022.pdf
2022 EIC and Tax Tables
https://www.irs.gov/pub/irs-prior/i1040tt--2022.pdf
Schedules 1-3
https://www.irs.gov/pub/irs-prior/f1040s1--2022.pdf
https://www.irs.gov/pub/irs-prior/f1040s2--2022.pdf
https://www.irs.gov/pub/irs-prior/f1040s3--2022.pdf
Don’t forget your state. And you will have to print and mail your returns. So be sure to attach copies of your W2s and any 1099s that have withholding on them. You have to mail federal and state in separate envelopes because they go to different places. Get a tracking number from the post office when you mail them for proof of filing.
Then when you file for 2023 you need to enter 0 for the 2022 AGI since you are filing 2022 late.