Wow...I am a brand new quilter too but I'll see if I can help. First, to explain what a "fat quarter" is. It is like a quarter yard of fabric (44" wide) but instead of say cutting it straight off the bolt 1/4 yard (9" long) making it 9" X 44" they cut a full yard of the fabric which would be 36" X 44" and then cut that into 4 equal pieces so it's FAT. So a fat quarter is 18" X 22" instead of a "straight quarter yard" which is 9" X 44". So now that I made that about as clear as mud....the problem is that your pattern asks for 4 fabrics at the following amounts:
1/4 yard Dark Green (straight quarter)
2/3 yard Focal Fabric
3/4 yard Red
2/3 yard Background
as you can see.....they are all larger than a 1/4 yard except the first but it asks for a striaght quarter instead of fat quarter. So.....I guess the answer is that it probably will not be enough fabric. Sorry :(