Yes, there will be problems.
Send a PDF.
There exists a possibility to save as InDesign Markup Language File, but it is not supposed to do it to bring the file to the pronter because the file will change.
I would also recommend never to bring an open file to the printer.
Ask yous service provider how he will need you pdf files*: Standard, Colour Output Space, Amount of Bleed, Crop Marks yes or no and then export a PDF for print according to the given specification.
* Better would be, if he provides you with a .JOBOPTION file yo can use to create your PDFs.