It certainly points towards the SSD, but the next stage would be to open your case, and remove the SSD, you should still be able to leave the SATA and power cable attached to the SSD. Just hold the SSD case to your ear while its running, and if it is the SSD you should be able to pinpoint that the noise is indeed coming from the SSD.
It's important to make sure the noise is coming from the SSD and not another choke on the motherboard, as most vendors will have a charge for checking an item which is then found not to be faulty. The other thing you could do is unplug the SSD power cable and see if the noise disappears.
A loose coil in a choke shouldn't fail, it's just a matter of the noise annoyance. Crucial, if I remember correctly have a 3 year warranty, so you should be able to raise a support ticket at their website, although it may be more convenient for you to deal with the vendor you purchased the SSD from.