Will an eye doctor give you contact lenses before ever getting glasses?

Not advised. They really should not. You should always have a pair of glasses to fall back on in the event that you have trouble with or lose your contact lenses.
Rarely. If you need contact lenses, you should probably get a pair of glasses to go along with them. You shouldn't be wearing your contact lenses all day everyday. Your eyes need a break and glasses can allow you to keep your improved vision while not wearing the contacts.

Related Questions

Can an eye doctor know your contact lens prescription just by looking at your glasses?

No. An estimation can be made for the power of the contact lens, but the base curve and diameter have to be fitted to your eye. Thus, typically a trial lens is used. Read more...
To some degree. If your glasses prescription is known, your contact prescription should be as well. If the eye doctor just looks at the glasses with his/her naked eye, he/she may get a rough idea of your prescription. If they look at the glasses with a lens meter, he/she will know the glasses' exact prescription, and have a good idea of the contact prescription based on that. Read more...
Contact lens. Yes, in many cases the power of the contact lenses can be predicted from the glasses prescription, but measurement of the corneal steepness needs to be made to calculate the base curve of the contact lenses. Then a trial wear of the contact lens is recommended to make sure you are happy with the clarity and comfort of the contact lens. Read more...