A SKTexture is just image data. A SKSpriteNode is a display object.
The quick answer is no, you cannot draw a SKTexture to the screen without SKSpriteNode.
This answer goes over that limitation : How do you set a texture to tile in Sprite Kit
However, I wanted to answer to give you an option to achieve your ultimate goal.
What you could do is use an SKNode as a container for however many SKSpriteNodes you need to create your background. Then using the SKView method textureFromNode you can create one single SKTexture from that SKNode, that you can use to create a single SKSpriteNode for your background.
Hopefully upcoming version of SpriteKit for iOS 8 has some better tiling options.
Update
Also, in doing some research tonight, since I had a need for this same functionality, I found this :
http://spritekitlessons.wordpress.com/2014/02/07/tile-a-background-image-with-sprite-kit/
Which is doing similar to what I was pondering doing. Gonna copy the code here, in case that page ends up gone :
CGSize coverageSize = CGSizeMake(2000,2000); //the size of the entire image you want tiled
CGRect textureSize = CGRectMake(0, 0, 100, 100); //the size of the tile.
CGImageRef backgroundCGImage = [UIImage imageNamed:@"image_to_tile"].CGImage; //change the string to your image name
UIGraphicsBeginImageContext(CGSizeMake(coverageSize.width, coverageSize.height));
CGContextRef context = UIGraphicsGetCurrentContext();
CGContextDrawTiledImage(context, textureSize, backgroundCGImage);
UIImage *tiledBackground = UIGraphicsGetImageFromCurrentImageContext();
UIGraphicsEndImageContext();
SKTexture *backgroundTexture = [SKTexture textureWithCGImage:tiledBackground.CGImage];
SKSpriteNode *backgroundTiles = [SKSpriteNode spriteNodeWithTexture:backgroundTexture];
backgroundTiles.yScale = -1; //upon closer inspection, I noticed my source tile was flipped vertically, so this just flipped it back.
backgroundTiles.position = CGPointMake(0,0);
[self addChild:backgroundTiles];