Yes sir, I've replaced many a faucets, once you disconnect the hot & cold supply & allow to sit dormant even for a short period debris can collect there in the lines, hot water is a huge culprit at times as it comes from the hot water heater where crud builds up. Before installing and connecting a new faucet you should turn on both hot cold valves for 30 seconds with flex water lines installed & run into a bucket under the sink, this will flush out the lines that may have any sandy or calcium build up that can settle in them when pressure is turned off. -- At this stage your filters in the spout are most likely clogged, it doesn't take much.
When you remove both hot & cold lines from new faucet I feel you will find you have very good water pressure, that's a good thing! (grin) Make sure to turn both hot & cold valves off under sink before removing to test!
I'm sure your new faucet is fine, it's just plugged at the filters.
ElkNut/Paul