I wouldn't completely rule it out.
Bednar has made exceptions - Makar, Newhook, Timmins, and Ranta all got postseason experience with little NHL experience.
Outside of Makar, Kovalenko is farther along than the other names when they finally joined the team. IIRC Ranta only played because of a slew of injuries, but if Kovalenko shows something prior to the playoffs he'll have an opportunity, albeit a short leash IMO.
Makar is generational. Newhook was essentially an injury replacement in both 2021 and the 2022 cup run, IIRC he started as a healthy scratch in 2021. In 2022 he was playing to start I think but then ended up a healthy scratch over Sturm and NAK for a while.
I think especially if we do go deep into the playoffs Kovalenko would get games. But at least to start, I don't see any way he has a spot to start the playoffs if Landy is also coming back, we trade for Lindholm, and we're at 100% health to start the playoffs... You're basically looking at a healthy roster of:
Nuke - Mack - Mikko
Landy - Lindholm - Lehky
Wood - Colton - Drouin
Cogs - Olofsson - LOC
With RyJo and Kiviranta not even listed either.