With just those items, no, you cannot record your Triton sounds into Logic.
The MIDI data you send from your Triton is interpretted using Logic's sounds only. Basically, in MIDI format, you cannot send the sounds on your keyboard to Logic. To get those sounds into Logic, you'll have to record audio from your Triton. In order to do this, you'll need an audio interface--a device that converts audio signals to/from your computer and other hardware. These range widely in price from $100 or so to a few thousand, depending on quality, method of connection (USB, firewire, PCI) and a variety of other features.
Then, you can connect your keyboard to the interface with a standard patch chord, and record from there. There are also ways you can record MIDI data from your keyboard to Logic, and then have that data playback through your Triton and back into Logic, but this too requires an audio interface.