If you have the determination, there will always be a solution. However, creating something custom and non-standard for your specific needs may lead to difficulties in maintenance. It is advisable to hire a professional developer who can utilize the technologies provided by Parse effectively. Although the initial cost may seem high, taking the correct approach from the start will save you from even greater expenses down the line.
Therefore, my response is:
Yes, anything is achievable, but no, it is not recommended! :)
Edit: An example has been included to demonstrate a potential method of addressing the original poster's query.
For instance:
1- Develop a basic Mac Application using Xcode that retrieves data similar to the iOS process, storing the relevant information in a database hosted on your server.
2- By having access to the required data from Parse through a local source, consider implementing a simple PHP script to facilitate data retrieval.
Please note that this setup would necessitate an active OSX server to continually fetch data. Sourcing data on demand rather than via scheduled intervals may present challenges, potentially leading to scalability issues and increased costs as previously mentioned.