According to some scenes in Star Plus Mahabharata and BR Chopra's Mahabharata (a TV series), it looks like both of them (Krishna and Vyasa) could see future. Did it actually happen in Vyasa Mahbharat?
Your enquiry is about Shree krishna and Vyasa seeing future events mentioned in Mahabharata and the answer is Yes. Both of them were aware of the events going to happen during the Mahabharata time and this is mentioned in Mahabharata Itself .
Maharshi Vyasa was having divine vision and was capable of seeing future is mentioned in Mahabharata - Vana Parva-Aranya Parva - Chapter 7.
तान प्रस्थितान परिज्ञाय कृष्णद्वैपायन: प्रभु : |
आजगाम विशुद्भात्मा द्रष्टवा दिव्येन चक्क्षुषा || 23 ||
P. 19 And knowing by his spiritual vision that they had gone out, the master Krishna-Dwaipayana of pure soul came upon them, and commanded them to desist.
Here we know that Vyasa was having divine vision and can able to see past and future.
In Mahabharata Sabha Parva-Dyuta Parva-Chapter-46 , we find Maharshi Vyasa telling what is going to come in the future to Yudhisthira. Vyasa thus told Yudhisthira that he officially will be the sole cause of the destruction of all Kshatriyas in Kurukshetra war for the sins of Duryodhana.
Vaisampayana continued,--"Hearing these words of the king, the exalted son of Parasara, the island-born Vyasa of dark hue, spoke these words,--'For thirteen years, O king, those portents will bear mighty consequences ending in destruction, O king of kings, of all the Kshatriyas. In course of time, O bull of the Bharata race, making thee the sole cause, the assembled Kshatriyas of the world will be destroyed, O Bharata, for the sins of Duryodhana
P. 92 and through the might of Bhima and Arjuna. In thy dream, O king of kings thou wilt behold towards the end of this might the blue throated Bhava, the slayer of Tripura, ever absorbed in meditation, having the bull for his mark, drinking off the human skull, and fierce and terrible, that lord of all creatures, that god of gods, the husband of Uma, otherwise called Hara and Sarva, and Vrisha, armed with the trident and the bow called Pinaka, and attired in tiger skin. And thou wilt behold Siva, tall and white as the Kailasa cliff and seated on his bull, gazing unceasingly towards the direction (south) presided over by the king of the Pitris. Even this will be the dream thou wilt dream today.
So from the above passage it's very clear that Vyasa was aware of future events at the time even at Yudhisthira's Rajasuya Yajna.