Yep, they’re many resemblances.
Matthew 16:1 The Pharisees also with the Sadducees came, and tempting desired him that he would shew them a sign from heaven.
Matthew 16:2 He answered and said unto them, When it is evening, ye say, It will be fair weather: for the sky is red.
Matthew 16:3 And in the morning, It will be foul weather to day: for the sky is red and lowring. O ye hypocrites, ye can discern the face of the sky; but can ye not discern the signs of the times?
Matthew 16:4 A wicked and adulterous generation seeketh after a sign; and there shall no sign be given unto it, but the sign of the prophet Jonas. And he left them, and departed.
"Three days and three nights" is not the sign here. It's a sailor's warning.
Taking one step back in the process, in looking at verses (1-3, and 4) together, why did Jonah end up in the water in the first place?!
The storm. The *sailors* were desperate to calm the seas.
Jonah 1:11 Then said they unto him, What shall we do unto thee, that the sea may be calm unto us? for the sea wrought, and was tempestuous.
Jonah 1:12 And he said unto them, Take me up, and cast me forth into the sea; so shall the sea be calm unto you: for I know that for my sake this great tempest is upon you.
Jonah 1:13 Nevertheless the men rowed hard to bring it to the land; but they could not: for the sea wrought, and was tempestuous against them.
Jonah 1:14 Wherefore they cried unto the LORD, and said, We beseech thee, O LORD, we beseech thee, let us not perish for this man's life, and lay not upon us innocent blood: for thou, O LORD, hast done as it pleased thee.
Jonah 1:15 So they took up Jonah, and cast him forth into the sea: and the sea ceased from her raging.