There are no special built in data entry tools for selecting a time. You'd have to create your own.
Am not quite able to picture what you mean by "Wheel Style" as I can imagine several very different "wheels" to use for selecting a time value and some can't be done in FileMaker unless someone has created a plug in to add that capability.
Somehow it is done in FileMaker Go though...see attached.
Yes, but that's a feature of the iOS that FM Go just hooks into. It does the same for date picking producing a rather awful set of spinning wheels for selecting dates. (I created my calendar formatted date picker to use in fm Go for that reason.)
In FileMaker, you could put three pairs of buttons on the screen that increment/decrement the hour, minute, second values or you could use three fields with drop down lists for selecting the same three values and a time field with an auto-enter calculation that enters a time calculated from those three fields...