Not at all, longbows were used for a long time by English armies, and had been used a long time in Wales, where it was invented. Longbows were extremely effective, due to being fast to shoot, and powerful;not as powerful as crossbows, but still very.

As Owain said, the longbow eventually triumphed over the crossbow. Still, the Crossbow did remain the dominant ranged weapon for some time, even in English armies. While on Crusade, Richard I employed crossbowmen, not longbowmen, in his army.

It changed at Crecy in 1337. Italian Crossbowmen in the French army attempted to engage the English longbows. While the Crossbowmen could not hit the English, the English could hit them. According to some chronicles of the battle, such as Froissart, it took very little time for the rain of English arrows to force the crossbowmen to run away.

The advantages of the crossbow are its ease to arm people with it. In addition to this, it had punching power than could easily rip through a knights armor, unlike the regular bow or composite bow. At Arsuf in 1191, Baha ad-Din ibn Shaddad (a noble in saladin's court) remarked with amazement that the knights would ride on with arrows sticking out of their backs, having failed to penetrate their armor completely.

So easy and deadly was the crossbow that it was banned by the Pope in the Second Lateral council of 1139. Of course, we know that this ban was either immediately, or at least eventually, ignored by the general armies of the Europe.

Unlike the crossbow, training people to use bows was tricky, and you also encounter the problem that a noble member of the fighting class isn't going to want to set aside their sword and lance for a bow. Which means you have to arm peasants.

the French got around this by hiring professional crossbow mercenaries from Italy, commonly called Genoese Crossbowmen. For the English, it seems they just bit the bullet and trained commoners in the use of the longbow. There seem to even have been laws dictating mandatory longbow practice in order to ensure that the army had enough archer levies for times of war.

While the crossbow enjoyed a temporary period in the sun, it was eventually proven that in a match for match fight, longbow will triumph over crossbow (so long as you have enough men to make it work).