No.
I think it can. An isosceles triangle by definition has two equal sides. It is possible to draw a triangle with a right angle and two equal sides.
The word isosceles is actually a Greek one standing for: having (two) equal sides. I thought that, in English, isosceles stands for "equilateral". If not, then yes it can be a triangle with two equal sides adjacent to the right angle. (hypotenuse excluded, anyway)
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No.
The word "isosceles" comes from Greek roots and means "equal leg." An isosceles triangle has two sides of equal length.
The isosceles triangle wasn't invented. The word isosceles is from Late Latin and from Greek isoskelēs, from iso- + skelos leg.
There is no such word as icociles! The word is isosceles and isos = equal, skelos = legs. A triangle with two equal legs is isosceles.
An isosceles triangle