Like everything else in government, it depends what the structure is.
On the surface the answer is no.
If you are breaking the company apart, that probably means that each will have its own DUNS and EIN. In that case, each new company must have their own contract.
Will the parent still exist? If so, their contract will stand.
Very important... even though it is not written anywhere, GSA imposes the 2-year rule for new companies.
We have, over the years, been able to bypass this, but it is a tough road to travel.
If this is an IT situation, you may want to rethink your decision before GSA imposes the proposed lock on new offers under IT70 and MOBIS.
I hope this helps.