yes, you can do it, this is easy. These toroid cores from iron powder, you can buy them. But note, these Amidon clones on aliexpress a little worse than original and have more high loss.
You're needs to know toroid size and material, at a glance it looks like
material is #2, which is used from 1 to 15 MHz. But I'm not sure, the color of core is not clean on the photo. And I see that there is a crystal resonator for 61 MHz, so may be there is another material.
I think
material #6 will be better for 61 MHz. Or may be there is a sense to use
material #12, but I never used this material.
If you have original transformer, check it's core color code to understand what kind of material is used.