battery for se 1st generation

Yes. You can setup an appointment at any Apple Store to get your battery replaced.

Check your battery's healthy at Settings ➜ Battery ➜ Battery Health.

If its below 80%, it needs to be replaced.

Click the following link to set up an appointment.

click here ➜ iPhone Battery Repair & Replacement - Apple Support

They should, however, I wouldn’t sink the money into replacing the battery in a phone that old. It can’t run anything later then ios 15, and though it’s still technically supported, I wouldn’t expect that to last more than about another year at the most.

Time to look into a newer phone.

-Check if your battery health if is below 80%...if it is you have to replace your battery

-If it's not All what you need to do is to calibrate your battery ...

1-use your phone 'till it shut down automatically

2- wait at least 6 hours before charging it again to 100%(don't use your phone when it's charging )

3- drain your battery again and wait at least 6 hours to charge it again and your phone will work properly