Yes for filing appeal there is a time limit
It applies even to government
It has to be filed within statutory period from date of obtaining certified copy of order
In order to ensure that the government does not obtain any interim relief against you by filing an appeal, without you being notified, you can lodge caveats in the High Court
Once caveat is filed and served on the government, then court will not pass any ex parte interim order of stay against the judgment passed in your favour, without hearing you first