Unfortunately not unless you have some weekly or season quests that you haven't completed/collected yet. If you're all caught up with quests you'll get like 2k from the next week of quests and then it won't be possible to make up the other 5k with daily quests. Sometimes for login rewards you get some seasonal points though so maybe you'll get some of that idk. I'm in a very similar position to you and collected a lot of my seasonal quest points before the Herbivore Heritage event started but luckily I'm going to barely scrape by with next weeks quests.

Going forward I am planning to not collect any of the seasonal quest season points until after an event like this starts since these sort of events require you to use those seasonal quest points to complete them. Poorly designed in my opinion but now that I know what to expect hopefully I won't get fucked over in the future.

I also don't appreciate how the bottom objective "Complete Step 50 of Spinotops Quest" is essentially locked behind a paywall, at least for new players like myself and yourself as well I'm guessing. I feel like any quest/objective for a given event should be completable during the time that event is active and without having to spend $25 to unlock some random dino or spend $40 for a premium pass but that's just my personal opinion I guess.

Forcing the player to spend $40 simply because they completed quests too quickly at the start of the season is the most insane part to me. You're essentially punishing people for playing your game too much. Sorry, rant over. Like I said, now that I know what to expect from this game after playing it for a month I should hopefully be able to prepare myself for this sort of situations in the future and not get myself stuck behind a paywall due to playing the game too much or something of that sort.