No, sorry.
An initial GPS fix requires a pretty long time because it takes more satellites, doesn't know which side of the planet it's on, etc. You can generally force GPS receivers to do that every time or you can let them take advantage of where they were last time as a head start, which lets a good fix happen with fewer satellites, fewer data points (meaning a shorter time) and fewer calculations.
GPS fixes happen in the satellite receiver, whether internal to the phone or in an external puck, and have nothing whatever to do with data connections; data connections come into play when you need to pull in a map or aerial view, but the application is just coordinating the position readings from the receiver with the (almost always) downloaded map's coordinate representations.
Hey - I think my thumbs just stopped hurting.
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