There's quite a few applications for iOS that support GPX track information, which you could probably use to sort of meet your needs. I won't list them all, as there's quite a few (free and paid), with various focuses on walking/riding/hiking or photography (for geotagging images).
I've used GeoTagr (formerly GeoLogTag) for quite a while for generating GPX files for geotagging photos. I believe you can copy GPX files in/out of it also, via iTunes (actually various methods to get the files out), but there are quite likely apps that make that process easier (try the ones designed for walking trails if you want easier import).
Again, there's many more, with many different features, so just do a search for GPX on the iTunes App Store and see what suits your needs (and let us know if any in particular suited your needs!).
The caveat is most of these types of apps require you to use GPX files, which may or may not be a downside for you, depending on the current format of your data points. It's a reasonably common format though, and I'm pretty sure things like Google Earth can produce GPX files.