Train from Trento Italy to Lucerne Switzerland

According to DBahn website there is a train at 12:04pm that has 3 changes and takes 6:37. No direct trains.

We will be traveling to Trento from our fist location which is about 2 hours away. Once we arrive in Trento we need a train to Lucerne,

Any chance you could tell us where this other place is? Do you need to go via Trento? There may be another route direct from there.

As the others say, there are multiple routes. Between Trento and Luzern it is all mountains (Alps). The train routes follow valleys and are not very direct. You either go north into Austria, and then across. Or south onto the Italian plains, then across to Milan (that bit is fast) and up to Luzern. Neither way fast.

You can look up train times for yourself on the DB website: https://www.bahn.com/en/view/index.shtml

The fastest option is departing at 12:04, and taking 6h37 and requires 4 trains (3 changes).
Details:

Trento dep 12:04, EC 81, Verona Porta Nuova arr 12:56
Verona Porta Nuova dep 13:32, FR 9730, Milano Centrale arr 14:45
Milano Centrale dep 15:25, EC 20, Arth-Goldau arr 18:09
Arth-Goldau dep 18:14, IR 2332, Luzern arr 18:41

Here's Rick's tutorial on how to use the Bahn site to look up train routes and schedules: https://www.ricksteves.com/travel-tips/transportation/trains/online-schedules