This is one of those cases where the relevant rule only exists as a response to a rules question. From the arkhamdb page for A Chance Encounter:
- "Does the restriction on 'giving' signature cards to other investigators in the FAQ apply to cards that don't say 'give'? For example, could I use A Chance Encounter to retrieve Duke from "Ashcan" Pete's discard pile and put him into play for me for a turn?" A signature card should not be allowed to be under the control of any investigator other than the investigator named on the card. So, for example, you could not use A Chance Encounter to retrieve Duke from Ashcan Pete’s discard pile if you were playing an investigator other than Ashcan Pete.