Yes there is.
The answer differs game by game. Games also differ in the level of codification of the customary procedure. It is a rule with mild sanctions in rubber bridge, a basic necessity in duplicate bridge, a convention in other games, a non-problem in yet others. I will illustrate with two detailed examples.
In Mariáš, the arguably most popular family of card games in my country, there are very specific rules about shuffling, cutting, and dealing. In some modes of the game or after certain circumstances of the previous game, shuffling is prescribed; in others it is prohibited (under a financial penalty), which is very untypical for a card game, and any prohibition on shuffling would be pointless without strict rules on subsequent dealing.
32 cards are dealt among three players as follows: one 5 card block to each player, then 2 cards left as a talon, then again one 5 card block to each player. A bidding conversation ensues between the two players who are not dealers, followed by another such conversation between the higher bidder of the two and the dealer.
It is common (although not mandatory) for players other than the bidder to start looking at and organizing their first five cards already before receiving the other five cards. It is not clear whether the dealer, who enters the auction last, has more or less time than the others to evaluate her hand for possible contracts that way; and it saves time for everyone.
For the opposite example, take bridge. It is played with 52 cards dealt one by one, which takes longer than in the previous example; furthermore, the dealer enters auction first, so no time could be saved by anyone not waiting for the dealer. In its competitive variant (duplicate bridge), the same deal will even serve multiple tables (groups of players) and not all those players will necessarily be present when the cards are being dealt. The laws of duplicate bridge describe the procedure thus: "The cards must be dealt face down, one card at a time, into four hands of
thirteen cards each; each hand is then placed face down in one of the four
pockets of the board. The recommended procedure is that the cards be dealt
in rotation, clockwise. " An even more explicit rule can be found in ACBL laws that apply to rubber bridge as most people know it. ("Players should not look at the face of any card until the deal is completed.")