New here,but not new to board bows.
To answer your question, YES, you can fireharden a board bow.
However, the problem is most likely not that you are not fire-hardening, but a poor tiller or poor choice of board. I say that based upon your earlier statements, and how I had to beat myself to death to figure it out.
There is a fellow on-line who runs a page called Meadowlark Adventure Gear. His content can be dry, but his builds are first rate, and he absolutley LOVES hickory, and also bamboo.
He also tends to steam bend his hickory in the middle into deflex, then glue on a backing, flip the tips, and builds some first class bows. I highly recommend you look up his channel and watch those videos. He is an absolute wealth of information, and he improved my builds quite a bit.
Red oak can make a decent bow. But heat treating, fire-hardening, works REALLY well with Hickory.
Ringingrocksarchery.com sells hickory boards, and they are usually pretty nice. It's the best source I have found for hickory on-line.
The attached pic is my most recent build, it is hickory backed hickory with an American Chesnut middle lam. I heat treat the belly with a box jig and a heat gun before glue up. The riser is twelve inches long, and it pulls 64 lbs at my 29 inch draw.