Yes, there are many writings in the Old Testament which got fulfilled in Jesus. One for instance, is Isa 53:9 which says :
They made his grave with the wicked
and his tomb with the rich
And we have in Matt 27: 57-60 :
As evening approached, there came a rich man from Arimathea, named Joseph, who had himself become a disciple of Jesus. .............. Joseph took the body, wrapped it in a clean linen cloth, and placed it in his own new tomb that he had cut out of the rock
...and in John 19: 41-42 :
At the place where Jesus was crucified, there was a garden, and in the garden a new tomb, in which no one had ever been laid. Because it was the Jewish day of Preparation and since the tomb was nearby, they laid Jesus there.
So, we see that the tomb in which Jesus was buried, was close to Calvary, and belonged to a rich man who could afford to build a tomb carved into rock. Had there been a choice, the disciples would have buried Jesus far from Calvary where the condemned ones met their death.
Thus, Jesus by his burial in the rich man's tomb, fulfilled the prophesy of Isaiah. But no mention of the fulfilment is made in the Gospels.