Should I have to get a crown on both my front teeth if only one tooth is broken? (photos)

Absolutely not!  Crowns are too aggressive.  The most conservative, durable and best option would be veneers.  The more natural tooth structure you can keep the better prognosis for the tooth long term.  Also, resin composites are more durable than they used to be.  It done correctly and bonded to the tooth, it would last a while but would need to be replaced in your future at some point. If you want the best, a porcelain veneer would last you a lifetime if done correctly.

Just by looking at your teeth, I can tell you have a bite issue. Your Upper teeth seem to be tilting inwards and if I am correct when you close your teeth together, there is no Free way space between your upper and lower from teeth. meaning they are all retouching when you close you bite down .If I am correct then you are not a candidate for a veneer. The ideal situation would be to temporarily bond the tooth that is broken, then do invisaligne to straighten out all your teeth and correct your bite, then whiten your teeth first and then veneer the broken one and try to match the shade to " after" whitening color of your teeth. .  Again That's the ideal .The most conservative one is to bond it, and even if you want to crown it, do only one. Because even if you do two, the rest of the front teeth will have a contrast in shade, so one more tooth does not help that situation .Good luck. 

Matching a single tooth in the front of the mouth is one of the most challenging things we do in dentistry., However, it can be done with taking time and proper shade matching,etc. I would definitely not do a crown on the other front tooth unless there is something else that I can't see from the photos(large fillings, root canal). The broken tooth appears to not need a full crown,either, unless it is broken more down the backside of the tooth or a root canal,etc. I would ask about doing a porcelain veneer on that tooth. It is more conservative and may be easier to match the neighboring tooth. I would seek another opinion