Well, such things are possible in language. You are talking about taking an adjective/a past participle of a verb and re-appropriating it as the present tense of a verb with a related, but different, meaning. This verb seems to refer specifically to programs/computers getting stuck. Sure, this could happen. As to whether it is likely, it really depends on circumstances -- it is similar to asking if a certain animal should evolve a sharper claw. If there is sufficient need for it, and if there isn't a better alternative, then it will emerge -- but language change doesn't happen because people decide it.
Linguistically speaking, creating a verb (to stuck) that looks like the past tense form of another verb (to stick) is not impossible. As mentioned in another thread, we have the verbs "to fall/to fell", "to lay/to lie".
The biggest obstacle I see is competing terms that already exist as verbs: "to hang" and "to lag" come to mind. Both of these are related to "getting stuck" in the computer sense.