Since I am working in a 10th century TL, Is it possible to displace some Jurchen, Mongol or Tungus tribes to Northern Siberia in 10-11th century if they did is it possible for those tribes to merge with the Eskimos which will influence the Eskimos and the Eskimos gain knowledge of Iron mining and creation of Iron tools and weapons.
Northern Siberia is quite plentiful of Tungus tribes, actually.
But to the point.
Seems far fetched.
Actually at least a tribe was displaced exactly that way IOTL: the Yakuts in the XIII century. They settled areas fairly apart from anywhere near the Eskimos, and I doubt their northern branch had much ironworking anyway.
I don't see particular reasons you can't have an earlier migration northwards by some other tribe, though I think they would stop far before anywhere close to the Siberian Eskimo areas if given the slightest chance. The further north you go, the tougher your life is in Siberia.
Ironworking for a hunter-gatherer society is a though proposition, but the Greenland Inuit IOT had a limited activity in that area, enjoying the incredible luck of the only know native iron deposit on the planet. The Canadian Inuit had a thriving copper industry. All this of course was very far away from Siberia.
The problem is that the Siberian Eskimo were and are absolutely marginal in numbers and territory, settling only a very small part of Asia at the very tip of Chukotia. To my knowledge, they had little contact with the Inuit of North America. Any tribe should pass through some of the most inhospitable lands of Earth, barren and frozen mountains, and overcome people like the Chukchi, who proved in TL to be more than match for the
Russians. And this, to settle a particularly uninteresting cold land in the middle of nowhere, just to be in the general neighborhood of some Yupik fishermen. A area this hypothetical tribe would not know how to live off, and that is basically suitable for a hunter-gatherer lifelstyle and little else, unless a specialized and sophisticated tech package is there. Even if your tribe makes it to settle near the Yupik of Siberia, and I think they must pretty desperate and fairly badass at the same time to do so, I suppose ironworking would be very limited at best. Either they adopt a hunter-gatherer (herder)lifestyle, as the Northern Yakuts mostly did OTL, or they cling to their old ways and starve pretty quickly. Well, they might have time to pass some iron knowledge around before starving, but it would have limited use in this context.
There are two TLs here that discuss more technologically advanced Eskimo on this board, where the issues of them getting iron-working are discussed in some details.