Yes. For each Ad Zone that you create, you can specify if users get rewarded for viewing or interacting with the ads displayed through this Ad Zone. In this case, Minimob will send to this Ad Zone only ads intended for incentivized traffic. Bear in mind, though, that ads for incentivized traffic have lower payouts than ads for non-incentivized traffic.
The Minimob platform can notify your server via postbacks when a conversion (as well as other events such as video start, midpoint, complete, etc.) has occurred. It is then up to the developer to determine and implement how to reward users.