It already goes on the board. The question is, does it go into the housing? I hope you have a big enough tower.
I have a 3090 which is 31cm long on the board. I have looked at a 4060 Ti. It was 28.10cm, so shorter than mine. According to the picture, it looks the same thickness.
This card occupies two slots, so if you have other cards in the PCI slots, there could be problems. I don't have any additional cards for SSD or sound etc. My M2 SSDs are under the graphics card on the board. I had to pull a fan cable around the GPU, which was a bit complicated. But otherwise no problem.
Note that the PCI slot has a small lever at the end. Always open this when inserting and removing the graphics card.

I have the 4070 on the board

The board can manage any commercially available graphics card.

So yes, you can use an RTX 4060 TI on the board.

gucksdu
https://www.gigabyte.com/ch...