OK, lemme see if'n I understand the questions.
1) Can you put a Contender barrel on an Encore frame?
Answer: No. Several things keep it from happening, but the short answer is "no".
2) Can cartridges traditionally chambered in the Contender (.222, .223, 7-30 Waters, .22 Hornet, etc.) be fired in the Encore and can barrels be had for such purpose?
Yes. Any cartridge that is safe in the Contender is safe in the Encore. The reverse is not true. You can get a 7-30 Waters barrel from the T/C Custom Shop (don't know about standard factory offering) for the Encore. The 7mm-08 may be a better choice, balistically speaking, but that isn't always the deciding factor.
If you're talking about getting rid of your Contender and replacing it with an Encore, it can be done, though you will have to replace every Contender barrel with an equivalently chambered Encore barrel. It could get pricey, but you can offset some of that when you sell your Contender and barrels for it (assuming this is your intention).
If I understood wrong, I apologize.