Unless those new wheels are heavy look at me chrome wheels, they will make a small difference but nothing you would need new gears for. They will hurt your acceleration slightly, and mileage by probably 1-2mpg, but you should notice an improvement in handling.
Not sure what wheels you currently have, but you need to know what the width is and offset. It will say ET ** but not sure where on whatever wheel you have, it should be visible on the inside of the wheel.
Your new tires are 2.1" taller (which is 1.05" higher per side closest to the top of the fender well, and will sit your truck 1.05" higher off the ground). So height should be fine.
Your new tires are 1.6" Wider. So you have .8" closer in towards the fender IF your new wheels are the same width with the same adjusted offset. The 18" wheels are probably wider.
Once you know your current wheel width and offset, you could use it to figure out your centerline, or just use some simple math to figure out the difference.
Example if your current wheel is 16 x 7 with a zero offset, and new wheel is 18 x 8.5, (1.5" wider = .75" width difference on each side/from centerline on both). 25.4 mm = 1 inch.
25.4 x .75 (wheel width) = 19.05 mm/ +19 ET would push the centerline out farther to get your new wheel's edge the same distance from the wheel well. Then
25.4 mm x .8 (tire width) = 20.32 mm, then another 20 ET would push the wheel out another 20mm to put the tire the same distance away from the side of the fender.
So for every inch wider the new wheels are, your wheel lip/edge is 12.6mm closer to the wheel well (assuming zero/same offset from centerline). & We know the new tires are ET 1.6" / 40mm wider / 20.32 mm wider on each side (closer towards the wheel well when we have the same centerline).
Then if you really want to know, you will need to go check at full steering wheel lock and see how much room you have (front of one side, back of the other).