You'll definitely have to remove some links, the question is how many.

There are several ways of sizing a chain. I use the big/big method: Wrap your chain around the biggest rear cog and biggest front chainring bypassing the derailleur. Figure out the shortest place you could connect the chain. Add 1 link in additional to the connector link to that (1 inch of additional chain total). That's the shortest chain that will safely cover your big/big gear combination.

I wouldn't be tempted to cheat by using a chain that's any shorter than that. If you ever accidentally shift into the big/big combination with a too short chain it can cause some serious damage to your bike and result in a long walk home.