Not normally, it just depends on the bullet profile, 55gr was the recommended limit H&R used to subscribe to before they went to 1:9" twist, there were some bullets that lots of members have used for deer in their 1:12" twist barrels that weigh more, but are short for their weight, the 60gr Nosler Partition, 63gr Sierra Varminter #1370, and the 64gr Win PP.
Tim