In most cases, no.
The NCE window is only for 88.1~91.9 MHz (Channels 201~220). These are the only channels that are reserved for noncommercial educational broadcast stations.
Most LPFM stations are in the band of 92.1~107.9 MHz (Channels 221~300).
Even for LPFM stations on channels 201~220, your current channel may not be available. Unlike LPFM stations, full-service stations must protect other full-service stations on co-, first-, second- and third-adjacent channels as well as meeting distance separation requirements with commercial stations on Channels 221~300. Full-service stations must also protect 10 full-service Channel 6 TV stations. Full-service stations are not required to protect LPFM stations, FM translators and low-power TV (LPTV) stations on Channel 6.