You can try, but it’s unlikey because of the way that SSDs work.
You may have a better chance if it’s an external drive so may not have been TRIM’md/garbage collected as often as internal drives are.
For file recovery from a reformatted drive see the instructions here:
PS. The only things that I have ever managed to recover from a internal SSD were some some system icons that had been deleted. (possibly by a Windows Update?)
Presumably the system partition they had previously been in doesn’t get TRIM’med and garbage collected like the drive partitions do?