We have a 2016 Fit and our iPhones charge with no issues through either the USB port on the dash or the "cigarette lighter" output in the middle storage area between the seats.
I have not tried ours with Bluetooth. Read this document --> How to connect your iPhone, iPad, or iPod touch to your car - Apple Support
It guides you to a model availability page with a long list of models. The page somewhat unhelpfully does not include the actual makes such as "Honda" only models. If you search for "Fit" you will see it mentions support for 2018 models on.
You may find that if your model has a line-in jack that you could attach the headphone output to the jack and just play music back through the sound system using that. On our 2016 Fit I can plug a thumb drive into the USB port and just play music files (mp3 no problem, AAC sometimes iffy) that way.