Yes, it is.
When I started to work in radio with microphone and headphones, my own voice sounded strange. I learned to accept it.
There is the added factor already mentioned: own voice is inside your head, the skull, and the ear hole. Un-aided, the sound is not trapped in the ear-hole. Plugged (dome or mold) own-voice is trapped in the ear hole and sounds extra loud.
Evidence: talk to a kid with high-end earbuds on his music player. They may try to listen to you without taking the buds out; but when they talk they take the buds out. It sounds strange. And they have no motivation to learn to accept it.
“Own voice quality” is on the short-list of HA adjustments. Often a very minor tweak at one frequency will make the user much happier. But it is very specific to how own-voice sound passes through and around your head, and your perception, so you absolutely have to tell your technician!
Older aids could sound like “talking through my nose” or “out there”. You mention “echo”. I suspect there is a delay in the HA processing. The delay is not apparent in most listening, but hearing your own voice is highly sensitive to small delay. Again some adjustment of gain helps the direct or the delay signal dominate. (And FWIW: in time you can learn to talk with very large delay between mouth and ear, as we sometimes did in the radio studio when monitoring own-voice on tape.)
Practice!
Tell the doc!