Upvote:3
No you cannot, you can only apply 90 days prior to the start of the visit. This is clearly mentioned on several Schengen Countries' embassies.
For instance, on the German Embassy (VFS Global) for the UK
Q.7 How early can I apply? Ans Applicants are free to apply up to 90 days prior to their date of travel. The Embassy recommends that you apply at least 3 weeks prior to your date of travel to accommodate any unforeseen processing delays.