If you are lucky, yes. And they actually grow quite quickly. They can grow a good foot a year for the first 100 years.
They do not like being transplanted though.

Oh yes!....
we had to have one removed and grew a replacement, its grand and has its own acorns now........

they also need plenty of space!

Or you can sit back and let a squirrel do it for you.

I think thats how ours landed up next to the house!......

foolish place for an oak, I felt awful cutting it down, but its offsprings a lovely tree

Choose acorns that are free of worms, holes, and fungus. Suitable acorns should be brownish with slight tinges of green remaining-- though the appearance of acorns can vary based on the type of oak tree they come from. A good general rule is that acorns are ready for picking when they can be removed from the cap without tearing them-- Note that the cap is not part of the acorn, but a (separate) protective covering. By removing the acorn from the cap you are not damaging it unless you tear the acorn itself.
Some oak varieties, like red oaks, have acorns that take two years to mature, rather than one- Put the acorns that you've harvested in a bucket of water. Allow the acorns to settle a minute or two. Discard any acorns that float - these acorns are bad. --If, at any point, you notice that an acorn is soft to the touch, discard it as well. Soft, mushy acorns are rotten.-- Take the "good" acorns out of the water and dry them off-- Place them in a large bag with damp sawdust, vermiculite, peat mix, or another growth medium that can hold moisture. Put the bag in the refrigerator for a month and a half or longer - as long as is needed to germinate the new oak.--This process is known as stratification, which is simply exposing a seed to cold temperatures, mimicking the natural conditions that a seed would experience had it fallen to the ground. This primes the seed for sprouting in the spring. Go to www.wilkihow.com for more information
•Periodically check on your acorns. The medium should be just barely moist. Too moist, and the acorns may rot. Too dry, and they may not grow.

I would think twice about growing an oak I have one overhanging my garden the leaves that drop are not easily broken down and you will have to clear them all up they look great in the right place but unless you have a very large garden I would look for an alternative more suitable.