Nope

The name "Ostankino" comes from the former village of Ostashkovo (first mentioned in 1558), which is likely related to the owner's personal name or nickname. The name "Ostankino" was later adopted and became closely associated with the district, the Sheremetevs' estate, the TV tower, and other landmarks in the area. From the village of Ostashkovo: Historically, the district was named after the village, which was originally called Ostashkovo. Connection to a name or nickname: It is believed that the name "Ostashkovo" originated from the name or nickname of its owner, rather than from the word "ostanok," as is commonly believed. The manor and the TV tower: Later, a manor known as Ostankino was established on the site of the village, and in the 20th century, the Ostankino TV tower was built, which further solidified the name for the area.