No, Pelosi has nothing to do with it. She’s Speaker of the House, and filibuster hasn’t been used there since the 1840s. The closest thing to Filibuster in the House is the so-called Magic Minute where the House leaders (the Speaker and the Minority Leader) can speak as long as they want on an issue, but the rank-and-file members have to adhere to strict limits.
Filibuster is only a thing in the Senate. The Senate has to change their rules to eliminate or defang the filibuster. Doing so, however, would also be subject to a filibuster, which makes it unlikely to happen in the current political climate.
I’ve always thought the filibuster was undemocratic. It’s a mechanism where a party in the Senate can theoretically delay action on a bill indefinitely by speaking for hours or days at a time on anything they wish, even something not related to the bill under debate (in one notorious example, a senator read Shakespeare plays and oyster recipes for 15 hours). Ending a filibuster (a process called Cloture) requires 60 votes. Given the fact that the current Senate is split almost evenly across party lines, that’s not likely to happen.