Just about.

As the others are saying, get some foam board and build a Flite Test Tiny Trainer from the free plans. You can build this as a glider and throw it around until you're confident with the controls, then add a motor to make a trainer - and then build the 'sport' wing and upgrade the battery to make it aerobatic.

Others are recommending the FS-i6 transmitter, which is a good choice as it'll be good when you get a few more models - but you can go a little cheaper if you don't mind only having one model. $32. If you stay in the hobby you'll definitely want something better before long though - but if you get serious you might want something even better than the i6. After a few years most people are using transmitters in the $100-$300 range.

Here's a 1806 motor $9

Here's a 12amp ESC with a BEC $7 - many quadcopter ESCs don't have a BEC, which you need to power your servos.

Here's a pack of 5 servos for $11 so you have a spare

Two 2s 800mAh batteries for $20

Here's a $11 charger - this is another item you'll want to upgrade if you get into the hobby, so you can charge bigger batteries, or several at once.

4 props for a $1

That's $91, leaving you a bit for foam board, hot glue, music wire (for push rods) and postage.

These links are for reference - I've not tried this exact stuff, but it matches the requirements of the plane. With a bit of hunting you might find the same things even cheaper - especially as I ignored the postage.