Can a bitcoin wallet be restored from the files on a drive?
If you used a wallet 8 years ago, you wouldn't have a backup seed phrase (BIP39/44 weren't created until 2013/14). So I have a feeling your timeline is off, or you never had a seed phrase in the first place. But anyways

Without additional info about what wallet you were using:

Generally, you'll want to find a 'wallet.dat' file (or similar), as it will contain the private keys to spend your coins. You will need to either find software that can read the wallet file, or find a way to extract the private keys from the file, and then import them into some wallet software. Private keys are not wallet-specific, but perhaps the wallet file could be. Without more info, it is hard to give specific advice. 

Note: Considering the access to your device that the specialists performing the data recovery will have, you may want to consider the possibility of them finding the wallet files themselves. I don't have specific recommendations on how to approach that situation, but it is something to keep in mind.