Blessing for Surviving a Near Accident

Shalom,

According to the custom of the Sephardim, one does not recite birkat hagomel even for salvation from an accident that indeed occurred, and thus in your case, it is certainly not necessary to recite it.
 
And also according to the custom of the Ashkenazim, one only recites birkat hagomel for salvation from an actual accident, meaning that if there has been a collision or something similar, and you came out unscathed, however, one does not recite birkat hagomel for a salvation from a 'near accident'.

Of course, all that has been said pertains only to the blessing, but to thank Hashem, it is certainly appropriate to give thanks, and it is correct to recite a song, such as 'A Psalm of Thanksgiving' (Mizmor LeTodah) from Psalms 100 or 'Nishmat Kol Hai'.

Sources: As mentioned, the custom of the Sephardim is not to recite birkat hagomel even for salvation from an accident that actually occurred, as clearly stated in the Shulchan Aruch (Orach Chaim, end of Siman 218). It is written, 'The four [cases] are not absolute; it is applicable to anyone who has experienced a miracle, such as being under a collapsing wall, or escaping from a trampling bull, or if a lion approached him in the city to devour him, or if thieves came to him and he escaped from them, and similar instances, all of them should recite birkat hagomel. There are those who say that one only recites birkat hagomel for these specific four cases. It is best to recite it without the mention of the Name and Sovereignty. Therefore, someone who was involved in an accident and came out without injury does not recite birkat hagomel with the Name and Sovereignty since it is not one of the four for which one must give thanks.

And also according to the custom of the Ashkenazim, who recite birkat hagomel if they were involved in an accident and came out alive, as explained in the Mishnah Berurah (there, s.k. 32) citing later authorities that wrote that the custom aligns with the first opinion (the four are not exclusive), and this is indeed reasonable. This is specifically when one escaped from an accident that actually occurred, such as an actual collision between two cars, but not reciting birkat hagomel for salvation from a 'near accident' - refer to Responsa Tzitz Eliezer part 18 (Siman 22, section 3) and Responsa Teshuvot Vehanhagot part 2 (Siman 136), and the book Hilchot Shlomo part 1 (page 130) and the book Ashrei Haish part Orach Chaim part 1 (Chapter 40, section 20) and the book Chut Shani Laws of Shabbat part 2 (page 206).

And as I noted, all that has been said pertains only to the blessing, but to thank Hashem, it is certainly appropriate to give thanks, etc., refer to the Responsa Teshuvot Vehanhagot (there) in the name of Rabbi Yisrael Kanivsky zt"l.

Blessings,
 
Hillel Meirs