Not seen it - or rather, I have been present in a room when it was on but didn't really pay it much attention - but definitely doable through grind.
Frame 1 has a nice bit of misdirection - the chess and the number. There's not many chess-focused films out there, and it's obviously not The Seventh Seal. The image suggests a relatively modern film, but with a period feel. I tried The Coldest Game but no autofill. Thought the number might be numerologically significant - Revolver and Lucky Number Slevin also crapped out. Figured it was in all likelihood a telephone number, not US (due to inaugural zero); most likely UK, given chess book is in English. Seems to be a pre-PhONEday Cambridge number. Threw in a placeholder to get to frame 2.
Frame 2: period defined by CND poster/handbill, placing it in late 50s at earliest. Other ephemera (hardbacked books with dust covers, no paperbacks, seemingly non-fiction rather than novels; that model/toy which seems quite 'sciencey'; the chess set; newspapers) lend themselves to a 'sciencey' rather than 'arty' character. Initially I wondered if the person in shot was playing chess with their foot, and on a whim tried the Christy Brown film, but no. The thick-framed glasses and PJs looked sort of familiar. The vibe I was getting was clever dude, early 60s, University of Cambridge, highly maths-competent, into patterns, not cool or artsy, but some girl has passed her number to him, the legs thing is probably some kind of foreshadowing... Which all pointed in one direction