Yes, and there are several Scottish first-time buyer schemes available!
One option is to consider Help to Buy - this was initially available only in England but has since been rolled out in Scotland, albeit with some slight differences.
As in England, you can only use Help to Buy to purchase a new build, and the buyer can be either a first-time buyer or somebody moving home.
You'll need a minimum 5% deposit to qualify and can then borrow up to 20% of the property value from the Scottish government in the form of an equity loan.
The scheme helps because a lender is likely to offer far more advantageous terms to someone with a 25% deposit, particularly a first-time buyer, than someone who can put down 5% on the cost of buying a new property.
Here are the differences between the Scottish and English Help to Buy schemes:
In Scotland, there is zero interest payable on the equity loan, no matter how long has passed since you applied - in England, you start paying interest if you haven't refinanced the loan in five years.
Scottish Help to Buy properties are capped at £400,000, compared to £600,000 in England (note that caps differ between London and the rest of England).