Yes.  Some ridicule the accuracy, or the actuality, of this account, but what the Bible says concerning Jonah being swallowed is like something that happened in 1891.  The Princeton Theological Review of that year records that James Bartley was swallowed by a whale.  Apparently the whaling ship Star of the East was chasing a sperm whale (a toothed, not baleen (filter feeding) whale) and released two boats which soon speared the whale.  The whale in its struggle overturned one of the boats.  One man was drowned and another disappeared.  The next day as the whale was cut open and there were found signs of life within the stomach.  There was an unconscious, but very much alive, sailor:  James Bartley.  Within three weeks he recovered from all ill effects and was back on duty.  The effect of the stomach acids?  “His skin, where it was exposed to the action of the gastric juice . . . face, neck, and hands, was bleached to a deadly whiteness and took on the appearance of parchment . . . (and) never recovered its natural appearance.”
    There was a man who survived inside the belly of a whale for roughly a day.  Could not Jonah, with the help of God (who had “prepared a great fish” (Jonah 1:17)), not have survived for three?  Even Jesus attested to the fact that this event had taken place.  In Matthew 12:40 we read, “For as Jonas was three days and three nights in the whale's belly; so shall the Son of man be three days and three nights in the heart of the earth.”  The sad thing is that many people could be swallowed by a great fish themselves and live, and yet still not believe the Bible account of Jonah.